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Quantum Theory of Tunneling
  • Language: en
  • Pages: 576

Quantum Theory of Tunneling

This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. The topics addressed include exponential and nonexponential decay processes and the application of scattering theory to tunneling problems. In addition to the Schr”dinger equation approach, the path integral, Heisenberg's equations and the phase space method are all used to study the motion of a particle under the barrier. Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered. Furthermore, recent advances concerning time delay and tunneling times and some of the problems associated with their measurement are also discussed. Finally, some examples of tunneling in atomic, molecular, nuclear and condensed matter physics are presented.

Quantum Theory of Tunneling
  • Language: en
  • Pages: 792

Quantum Theory of Tunneling

In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions. The interesting and puzzling features of tunneling times are given extensive coverage, and the possibility of measurement of these times with quantum clocks are critically examined. In addition, by considering the analogy between evanescent waves in waveguides ...

Classical And Quantum Dissipative Systems (Second Edition)
  • Language: en
  • Pages: 592

Classical And Quantum Dissipative Systems (Second Edition)

Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.

An Introduction To Inverse Problems In Physics
  • Language: en
  • Pages: 387

An Introduction To Inverse Problems In Physics

This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.

Heisenberg's Quantum Mechanics
  • Language: en

Heisenberg's Quantum Mechanics

  • Type: Book
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  • Published: Unknown
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  • Publisher: Unknown

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Heisenberg's Quantum Mechanics
  • Language: en
  • Pages: 678

Heisenberg's Quantum Mechanics

This book provides a detailed account of quantum theory with a much greater emphasis on the Heisenberg equations of motion and the matrix method. No other texts have come close to discuss quantum theory in terms of depth of coverage. The book features a deeper treatment of the fundamental concepts such as the rules of constructing quantum mechanical operators and the classical-quantal correspondence; the exact and approximate methods based on the Heisenberg equations; the determinantal approach to the scattering theory and the LSZ reduction formalism where the latter method is used to obtain the transition matrix. The uncertainty relations for a number of different observables are derived and discussed. A comprehensive chapter on the quantization of systems with nonlocalized interaction is included. Exact solvable models, and approximate techniques for solution of realistic many-body problems are also considered. The book takes a unified look in the final chapter, examining the question of measurement in quantum theory, with an introduction to the Bell's inequalities.

Physics in Canada
  • Language: en
  • Pages: 736

Physics in Canada

  • Type: Book
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  • Published: 1966
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  • Publisher: Unknown

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DECIPHERING QUANTUM MECHANICS
  • Language: en
  • Pages: 222

DECIPHERING QUANTUM MECHANICS

  • Type: Book
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  • Published: 2024-04-30
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  • Publisher: David Sandua

Discover the secrets of the subatomic universe on an exciting journey through the fundamental principles of quantum mechanics. This book pulls back the curtain on a world where reality surpasses fiction, where particles can exist simultaneously in multiple states through superposition and be entangled across cosmic distances, challenging our understanding of space and time. Through clear exposition requiring no prior knowledge, readers will delve into concepts such as wave-particle duality, Heisenberg's uncertainty principle, and Schrödinger's intriguing wave function, which are the foundation of revolutionary technologies in quantum computing and cryptography. This work not only provides a solid understanding of theoretical foundations but also explores the philosophical and practical implications these have on our daily lives and how they are shaping the future of science and technology. Perfect for students, enthusiasts, and anyone interested in the mysteries of quantum behavior, this book is an essential guide to understanding how quantum concepts are transforming our world.

The Geometric Phase in Quantum Systems
  • Language: en
  • Pages: 447

The Geometric Phase in Quantum Systems

From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).

Expanded Abstracts with Biographies
  • Language: en
  • Pages: 1102

Expanded Abstracts with Biographies

  • Type: Book
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  • Published: 1996
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  • Publisher: Unknown

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