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ePub Quantum Theory of Tunneling download

by Mohsen Razavy

ePub Quantum Theory of Tunneling download
Author:
Mohsen Razavy
ISBN13:
978-9812380180
ISBN:
9812380183
Language:
Publisher:
World Scientific Publishing Company; 1st edition (February 2003)
Category:
Subcategory:
Engineering
ePub file:
1774 kb
Fb2 file:
1597 kb
Other formats:
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Rating:
4.1
Votes:
465

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.

This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. In addition to the Schrödinger 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

Quantum Theory of Tunneling.

Quantum Theory of Tunneling. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions

Quantum Theory of Tunneling. Book · January 2003 with 271 Reads. Quantum tunneling (for general information you can check (Griffiths, 2005), or for more detailed information (Razavy, 2003) ) is a pure quantum mechanical phenomenon enabled by the uncertainty principle which can be explained simply as a penetration of subatomic particles into classically forbidden region.

World Scientific, 2014 - 767 Seiten. 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 and in quantum tunneling, the times related to electromagnetic wave propagation have been used to explain certain aspects of quantum tunneling times. These topics are treated in both non-relativistic as well as relativistic regimes. Quantum theory of tunneling. Books for People with Print Disabilities. Internet Archive Books. Uploaded by station09. cebu on September 12, 2019. SIMILAR ITEMS (based on metadata). Terms of Service (last updated 12/31/2014).

Quantum tunnelling or tunneling (US) is the quantum mechanical phenomenon where a subatomic particle passes through a potential barrier. Quantum tunnelling is not predicted by the laws of classical mechanics where surmounting a potential barrier requires enough potential energy

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This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the . You are leaving VitalSource and being redirected to Quantum Theory Of Tunneling. eTextbook Return Policy. In addition to the Schrödinger 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.

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 Schrödinger 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.
  • The author gives broad coverage of the subject. I hated to use survey in the title as it's usually a euphemism for books that are heavy on references and light on development. The author explains the basics thoroughly. A course in graduate level quantum mechanics is adequate preparation to understand the material but if you're rusty or maybe just mathematically mature (skilled at proof and logic) you might have to look up results in Fourier analysis, functional and complex analysis. Just a few pages into chapter 2 and you're confronted with Paley-Wiener. Of course you can just accept it and look it up later say in RudinReal & Complex Analysis.
    The tunneling process is allowed in quantum theory because a particle is a wave field here which inherits indeterminacy or uncertainty as found in physical optics say. The particle exhibits particle behavior as the square of its amplitude or square norm (Copenhagen interpretation) of its wave function-it interferes with itself constructively and destructively. In the first section of Chapter 2, he gives an example of a particle moving in one dimension which begins with some initial kinetic energy and later in its motion confronts a potential of higher or greater energy than the particle has initially. Classically we expect it not to overcome the potential and reflect or move back in the first region. But classically to know this exact and limited energy we must know the particle speed or momentum for its kinetic energy and its position to determine its potential energy-Simultaneously. This violates uncertainty in quantum theory. The expectation value of energy in quantum theory corresponds to classical energy. The author uses the time-energy uncertainty relation to show that the energy can jump sufficiently high above this level(potential) provided the time is known to sufficient precision. This he finds by taking the width of the potential barrier, using the above mentioned time interval written in terms of the energy interval or uncertainty and using it for speed (barrier width divided by time interval is speed) in the energy equation. This gives the estimate of the energy uncertainty or interval allowing for the jump to occur. These intervals give the range above or below the average or expectation value in which the wave is allowed-quadratic equation of course. First time I saw this! Anyway the book deals predominately with semi-classical methods like WKB and Bohr-Sommerfeld. The author however gives a presentation of his own pioneering work in the Heisenberg equations method as well as path integral methods and even Wigner distribution function methods. He also shows relativistic extensions which lead to superluminal tunneling via dispersion relations. Nice reference to have!
    For extra help on WKB as in estimating error see the classic J.Heading An Introduction to Phase-Integral Methods. WKB is nearly oblivious to reflection which is why it's used for transmission coefficients or amplitudes. For tunneling via finite elements see Finite Element and Boundary Element Applications in Quantum Mechanics (Oxford Texts in Applied and Engineering Mathematics) which has a brief section but shows that finite elements can be more accurate than WKB.

  • It's math all through this book.