# Quantum Mechanics Of Non Hamiltonian And Dissipative Systems

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## Quantum Mechanics of Non Hamiltonian and Dissipative Systems

Author | : Vasily Tarasov |

Publsiher | : Elsevier |

Total Pages | : 530 |

Release | : 2008-06-06 |

ISBN | : 9780080559711 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Quantum Mechanics of Non Hamiltonian and Dissipative Systems Book Excerpt:**

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006. • Requires no preliminary knowledge of graduate and advanced mathematics • Discusses the fundamental results of last 15 years in this theory • Suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences

## Applications in Physics

Author | : Vasily E. Tarasov |

Publsiher | : Walter de Gruyter GmbH & Co KG |

Total Pages | : 327 |

Release | : 2019-02-19 |

ISBN | : 3110571722 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Applications in Physics Book Excerpt:**

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fifth volume collects authoritative chapters covering several applications of fractional calculus in physics, including electrodynamics, statistical physics and physical kinetics, and quantum theory.

## Fractional Dynamics

Author | : Vasily E. Tarasov |

Publsiher | : Springer Science & Business Media |

Total Pages | : 505 |

Release | : 2011-01-04 |

ISBN | : 3642140033 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Fractional Dynamics Book Excerpt:**

"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

## Fractional Dynamics

Author | : Joseph Klafter,S. C. Lim,Ralf Metzler |

Publsiher | : World Scientific |

Total Pages | : 530 |

Release | : 2012 |

ISBN | : 9814340596 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Fractional Dynamics Book Excerpt:**

This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

## Quantum Mechanics Between Ontology and Epistemology

Author | : Florian J. Boge |

Publsiher | : Springer |

Total Pages | : 432 |

Release | : 2018-10-24 |

ISBN | : 3319957651 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Quantum Mechanics Between Ontology and Epistemology Book Excerpt:**

This book explores the prospects of rivaling ontological and epistemic interpretations of quantum mechanics (QM). It concludes with a suggestion for how to interpret QM from an epistemological point of view and with a Kantian touch. It thus refines, extends, and combines existing approaches in a similar direction. The author first looks at current, hotly debated ontological interpretations. These include hidden variables-approaches, Bohmian mechanics, collapse interpretations, and the many worlds interpretation. He demonstrates why none of these ontological interpretations can claim to be the clear winner amongst its rivals. Next, coverage explores the possibility of interpreting QM in terms of knowledge but without the assumption of hidden variables. It examines QBism as well as Healey’s pragmatist view. The author finds both interpretations or programs appealing, but still wanting in certain respects. As a result, he then goes on to advance a genuine proposal as to how to interpret QM from the perspective of an internal realism in the sense of Putnam and Kant. The book also includes two philosophical interludes. One details the notions of probability and realism. The other highlights the connections between the notions of locality, causality, and reality in the context of violations of Bell-type inequalities.

## Fractional Quantum Mechanics

Author | : Laskin Nick |

Publsiher | : World Scientific |

Total Pages | : 360 |

Release | : 2018-05-25 |

ISBN | : 9813223812 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Fractional Quantum Mechanics Book Excerpt:**

Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder. The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrödinger equation is a manifestation of fractional quantum mechanics. The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the well-known Feynman path integral framework. Related topics covered in the text include time fractional quantum mechanics, fractional statistical mechanics, fractional classical mechanics and the α-stable Lévy random process. The book is well-suited for theorists, pure and applied mathematicians, solid-state physicists, chemists, and others working with the Schrödinger equation, the path integral technique and applications of fractional calculus in various research areas. It is useful to skilled researchers as well as to graduate students looking for new ideas and advanced approaches.

## Entropy in Foundations of Quantum Physics

Author | : Marcin Pawłowski |

Publsiher | : MDPI |

Total Pages | : 266 |

Release | : 2020-12-15 |

ISBN | : 3039289519 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Entropy in Foundations of Quantum Physics Book Excerpt:**

This book is a collection of outstanding papers on various aspects of entropy at the foundation of quantum physics. The covered topics range from purely foundational issues such as contextuality and Bell and Leggett–Garg inequalities to applications such as quantum key distribution, teleportation, and image encoding. The main ingredient binding them together in this book is that in all of the contained papers, entropy plays a key role either as a mathematical tool or as a link which bridges the gap between different fields of science.

## The Problem of Time

Author | : Edward Anderson |

Publsiher | : Springer |

Total Pages | : 920 |

Release | : 2017-09-18 |

ISBN | : 3319588486 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**The Problem of Time Book Excerpt:**

This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.

## Geometric Methods in Physics XXXVIII

Author | : Piotr Kielanowski,Anatol Odzijewicz,Emma Previato |

Publsiher | : Springer Nature |

Total Pages | : 381 |

Release | : 2020-10-27 |

ISBN | : 3030533050 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Geometric Methods in Physics XXXVIII Book Excerpt:**

The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

## Mathematical Economics

Author | : Vasily E. Tarasov |

Publsiher | : MDPI |

Total Pages | : 278 |

Release | : 2020-06-03 |

ISBN | : 303936118X |

Category | : Business & Economics |

Language | : EN, FR, DE, ES & NL |

**Mathematical Economics Book Excerpt:**

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

## Applications in Physics

Author | : Vasily E. Tarasov |

Publsiher | : Walter de Gruyter GmbH & Co KG |

Total Pages | : 314 |

Release | : 2019-02-19 |

ISBN | : 3110571706 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Applications in Physics Book Excerpt:**

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.

## Symmetries in Science X

Author | : Bruno Gruber,Michael Ramek |

Publsiher | : Springer Science & Business Media |

Total Pages | : 454 |

Release | : 2013-06-29 |

ISBN | : 1489915370 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Symmetries in Science X Book Excerpt:**

Proceedings an International Symposium held in Bregenz, Austria, July 13-18, 1997

## Lagrangian and Hamiltonian Methods for Nonlinear Control 2003

Author | : A Astolfi,Francisco Gordillo,A J Van Der Schaft |

Publsiher | : Elsevier |

Total Pages | : 318 |

Release | : 2003-10-07 |

ISBN | : 9780080442785 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 Book Excerpt:**

This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods

## Transport of Information Carriers in Semiconductors and Nanodevices

Author | : El-Saba, Muhammad |

Publsiher | : IGI Global |

Total Pages | : 677 |

Release | : 2017-03-31 |

ISBN | : 1522523138 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Transport of Information Carriers in Semiconductors and Nanodevices Book Excerpt:**

Rapid developments in technology have led to enhanced electronic systems and applications. When utilized correctly, these can have significant impacts on communication and computer systems. Transport of Information-Carriers in Semiconductors and Nanodevices is an innovative source of academic material on transport modelling in semiconductor material and nanoscale devices. Including a range of perspectives on relevant topics such as charge carriers, semiclassical transport theory, and organic semiconductors, this is an ideal publication for engineers, researchers, academics, professionals, and practitioners interested in emerging developments on transport equations that govern information carriers.

## Quantum Bio informatics III

Author | : Luigi Accardi,Wolfgang Freudenberg,Masanori Ohya |

Publsiher | : World Scientific |

Total Pages | : 512 |

Release | : 2010 |

ISBN | : 9814304069 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Quantum Bio informatics III Book Excerpt:**

Classical and quantum conditioning : mathematical and information theoretical aspects / L. Accardi -- Dynamics and potentials / F. Araki -- Kossakowski-Ohya teleportation scheme and its applications / M. Asano, M. Ohya and Y. Tanaka -- Utility and value of information in cognitive science, biology and quantum theory / R.V. Belavkin -- Spectral properties of entanglement witnesses and positive maps / D. Chruściński -- Quantum entanglement and multipartite symmetric states / D. Chruściński -- On a quantum model of brain activities / K.-H. Fichtner [und weitere] -- Some of the recent topics in white noise theory / T. Hida -- Note on generalized white noise functionals / T. Hida -- On estimation of the position distribution of the ideal Bose gas / K.-H. Fichtner, K. Inoue and M. Ohya -- On generalization of quantum mutual entropy by using liftings / S. Iriyama and M. Ohya -- A new approach to stroboscopic tomography of open systems / A. Jamiolkowski -- An introduction to frames and their applications to quantum optics / A. Jamiolkowski -- Memory in a nonlocally damped oscillator / D. Chruściński and J. Jurkowski -- An introduction to quantization of dissipative systems. The damped harmonic oscillator case / J. Jurkowski -- Classical and quantum probability for biologists - introduction / A. Khrennikov -- 2-adic degeneration of the genetic code and energy of binding of codons / A. Yu. Khrennikov and S.V. Kozyrev -- On positive maps; PPT states and entanglement / W.A. Majewski -- Detecting entanglement in spin lattice models / M. Michalski -- How to detect entanglement in quantum systems / M. Michalskii -- Tunneling study on high-T[symbol] superconductors / M. Minematsu, S. Kawashima and N. Miyakawa -- Quantum dynamics of superconducting qubit readout with a driven nonlinear Josephson oscillator / H. Nakano -- Roles of asymptotic condition and S-matrix as micro-macro duality in QFT / I. Ojima -- Gaussian Markov triplets / D. Petz and J. Pitrik -- pre-mRNA introns as a model for cryptographic algorithm : theory and experiments / M. Regoli -- Duality arising from multiple Markov Gaussian processes / Si Si and W.W. Htay -- Novel computational approaches to drug discovery / J. Skolnick and M. Brylinski -- Feynman type formulae for quantum evolution and diffusion on manifolds and graphs / O.G. Smolyanov -- Poisson noise and the dynamics of infinite particle systems / L. Streit -- Replica-exchange molecular dynamics simulations of Amyloid precursor protein dimer in membrane / N. Miyashita and Y. Sugita -- Comparison of square contingency tables using measure of departure from marginal homogeneity / K. Tahata [und weitere] -- On the statics for micro-array data analysis / T. Urushibara [und weitere] -- Functional mechanics and time irreversibility problem / I.V. Volovich -- Regulatory networks : inferring functional relationships through co-expression / D. Wanke [und weitere] -- On entropies of quantum dynamical systems / N. Watanabe -- Significant improvement of sequence alignment can be done by considering transition probability between two consecutive pairs of residues / T. Ham, K. Sato and M. Ohya -- A computational approach to explore protein translocation through Type III secretion apparatus / T. Rathinavelan and W. Im -- Carbon nanotubes for building blocks of quantum computing devices / K. Ishibashi [und weitere] -- In silico analysis for the study of botulinum toxin structure / T. Suzuki and S. Miyazaki -- Gene discovery methods from large-scale gene expression data / A. Shimizu and K. Yano

## Progress in Optics

Author | : Anonim |

Publsiher | : Elsevier |

Total Pages | : 634 |

Release | : 2002-05-17 |

ISBN | : 0080929982 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Progress in Optics Book Excerpt:**

The seven reviews articles presented in this volume cover a broad range of subjects. The first article is concerned with the use of active optics in modern, large telescopes. The second article discusses variational methods used in nonlinear fibre optics and in related fields. The article by O. Keller which follows deals with a topic of historical interest, presenting a account of researches of the Danish physicist L.V. Lorenz who in 1867 established the electrodynamic theory of light, independently of the work of James Clerk Maxwell. The fourth article is concerned with the canonical quantum description of light propagation in dielectric media. The fifth article by D. Dragoman describes the similarities and the differences between classical optics and quantum mechanics in phase space. The article by R. Boyd and D. Gauthier which follows, summarizes research on pulse propagation effects in resonant material system. The concluding article by A. Torre is concerned with the fractional Fourier transform and some of it applications in optics. It is clear that the articles in this volume cover a broad range of subjects, some of which are likely to be of interest to many scientists concerned with optical theory or with optical devices.

## Progress in Optics

Author | : Emil Wolf |

Publsiher | : Elsevier |

Total Pages | : 653 |

Release | : 2002-05 |

ISBN | : 0444510222 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Progress in Optics Book Excerpt:**

Progress in Optics Volume 43.

## Synergetics From Microscopic to Macroscopic Order

Author | : E. Frehland |

Publsiher | : Springer Science & Business Media |

Total Pages | : 262 |

Release | : 2012-12-06 |

ISBN | : 364269540X |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Synergetics From Microscopic to Macroscopic Order Book Excerpt:**

This volume contains the papers presented at the International Symposium on "Synergetics - From Microscopic to Macroscopic Order", held at the Wissenschafts kolleg z~ Berlin (Institute for Advanced Study Berlin), on July 4-8, 1983. Further more, it contains a contribution of T. Ohta, who unfortunately could not partici pate in this meeting, on the evolution of mUltigene families. The papers discuss the evolution and the function of ordered structures from small microscopic scales up to large macroscopic dimensions. On the one hand, these structures derive from physical or biological systems; on the other hand, they also affect economic, sociological and philosophical questions. I would like to thank the Wissenschaftskolleg zu Berlin for the extraordinary support and hospitality during my one year's stay there as a fellow, which made the planning, preparation and organization of this symposium possible. I would also like to acknowledge the work of B. Fritsch and D. Dorner who actively participated in this undertaking. I am grateful to Professor Haken, the founder of synergetics, whose participation in the planning and styling of the concept of the conference was essential. I am especially thankful to Mrs. U. Monigatti for her indefatigable help with the prep aration and organization of the conference. The financial support was provided by the "Deutsche Forschungsgemeinschaft". Berlin, November 1983 E. Frehland Contents Some Introductory Remarks on Synergetics By H. Haken ...

## Dynamical Systems and Microphysics

Author | : A. Blaquiere,F. Fer,A. Marzollo |

Publsiher | : Springer |

Total Pages | : 412 |

Release | : 2014-05-04 |

ISBN | : 3709143306 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Dynamical Systems and Microphysics Book Excerpt:**

## Quantum Analogues From Phase Transitions to Black Holes and Cosmology

Author | : William Unruh,Ralf Schützhold |

Publsiher | : Springer |

Total Pages | : 298 |

Release | : 2007-04-14 |

ISBN | : 3540708596 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Quantum Analogues From Phase Transitions to Black Holes and Cosmology Book Excerpt:**

Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.