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Elementary Quantum Mechanics in One Dimension
 
 
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Elementary Quantum Mechanics in One Dimension [Paperback]

Robert Gilmore (Author)

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Book Description

0801880157 978-0801880155 September 17, 2004

One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrödinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schrödinger's Equation offers new insight into quantum mechanics at an elementary level.

Gilmore presents compact transfer matrix methods for solving quantum problems that can easily be implemented on a personal computer. He shows how to use these methods on a large variety of potentials, both simple and periodic. He shows how to compute bound states, scattering states, and energy bands and describes the relation between bound and scattering states. Chapters on alloys, superlattices, quantum engineering, and solar cells indicate the practical application of the methods discussed.

Gilmore's concise and elegant treatment will be of interest to students and professors of introductory and intermediate quantum courses, as well as professionals working in electrical engineering and applied mathematics.


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Editorial Reviews

Review

I found this book to be very interesting and I enjoyed exploring the problems with the power and simplicity of Gilmore's approach.

(Australian Physics 2005)

Gilmore will indulge many instructors' desires to dwell on problem-solving techniques in introductory quantum mechanics despite the ever-expanding menu of critical topics that need to be covered.

(Choice 2005)

A rich source of ideas for activities or projects suitable for students in an intermediate quantum mechanics or a computational physics course... Highly recommended to those teaching undergraduate quantum mechanics.

(Alan J. DeWeerd American Journal of Physics 2005)

No other work offers as many insights into the behavior of wavefuntions in one dimension, or offers such a systematic treatment of this problem. A novel and useful contribution to the physics community.

(Gregory N. Derry, Loyola College of Maryland 2006)

This is the full-blooded version of an undergraduate course... aimed at the second-year undergraduate.

(Drew McCormick School Science Review )

About the Author

Robert Gilmore is a professor of physics at Drexel University.


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First Sentence:
Schrodinger's equation is. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
classically forbidden regime, equally spaced wells, allowed energy eigenvalues, probability spectrum, new bound states, bound state energy eigenvalues, piecewise constant potential, double barrier potential, bound state wavefunctions, single well potential, identical barriers, incident particle energy, classically forbidden region, transmission resonance, transmission probability, square well potential, bound state energies
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