Elementary Quantum Mechanics in One Dimension

Name: Elementary Quantum Mechanics in One Dimension
Brand: JOHNS HOPKINS UNIVERSITY PRESS
Price: 72.75 AUD
Availability: BackOrder

By: Robert Gilmore

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Paperback | 14 December 2004

At a Glance

Paperback
240 Pages

Age
22+

Dimensions(cm)
15.6 x 23.3 x 1.6

Paperback

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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 Schr dinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schr dinger'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.

Industry Reviews

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

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Science in General

Preface	p. ix
Foundations
Schrodinger's Equation	p. 3
Solutions in a Constant Potential	p. 5
Wavefunctions across a Boundary	p. 9
Piecewise Constant Potentials	p. 15
Momentum Conservation	p. 25
Preview of Boundary Conditions	p. 29
Units	p. 33
Scattering
Boundary Conditions	p. 37
A Simple Example	p. 39
Coding and Validation	p. 43
Shape of Barrier	p. 45
Asymptotic Behavior	p. 49
Phase Shifts	p. 53
Double Barrier	p. 59
Multiple Barriers	p. 67
Probability Distributions	p. 69
Combining Barriers	p. 73
Quantum Engineering	p. 79
Variations on a Theme	p. 83
Bound States
Boundary Conditions	p. 91
A Simple Example	p. 93
Coding and Validation	p. 95
Shape of Potential	p. 97
Dependence on Parameters	p. 101
Relation between Bound and Scattering States	p. 105
Double and Multiple Well Potentials	p. 113
Level Splitting	p. 117
Symmetry Breaking	p. 119
Wavefunctions	p. 123
Superpositions, Overlaps, and Probabilities	p. 129
Symmetry and Wavefunctions	p. 135
Transmission Resonances and Bound States	p. 143
Creation of Bound States	p. 147
Quantum Engineering	p. 151
Variations on a Theme	p. 155
The Sine Transform	p. 159
Periodic Potentials
Boundary Conditions	p. 167
A Simple Example	p. 173
Coding and Validation	p. 179
Asymptotic Behavior	p. 183
Relation among Boundary Conditions	p. 187
Wavefunctions and Probability Distributions	p. 193
Alloys	p. 199
Superlattices	p. 203
Impurities	p. 207
Quantum Engineering	p. 213
Index	p. 225
Table of Contents provided by Rittenhouse. All Rights Reserved.

Elementary Quantum Mechanics in One Dimension

At a Glance

Paperback

Industry Reviews

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How to return your order

Defective items

You Can Find This Book In

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