Elementary Quantum Mechanics in One Dimension

ISBN-10: 0801880157

ISBN-13: 9780801880155

Edition: 2004

List price: $28.95
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Description:

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

List price: $28.95
Copyright year: 2004
Publisher: Johns Hopkins University Press
Publication date: 9/17/2004
Binding: Paperback
Pages: 240
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.770
Language: English

Preface
Foundations
Schrodinger's Equation
Solutions in a Constant Potential
Wavefunctions across a Boundary
Piecewise Constant Potentials
Momentum Conservation
Preview of Boundary Conditions
Units
Scattering
Boundary Conditions
A Simple Example
Coding and Validation
Shape of Barrier
Asymptotic Behavior
Phase Shifts
Double Barrier
Multiple Barriers
Probability Distributions
Combining Barriers
Quantum Engineering
Variations on a Theme
Bound States
Boundary Conditions
A Simple Example
Coding and Validation
Shape of Potential
Dependence on Parameters
Relation between Bound and Scattering States
Double and Multiple Well Potentials
Level Splitting
Symmetry Breaking
Wavefunctions
Superpositions, Overlaps, and Probabilities
Symmetry and Wavefunctions
Transmission Resonances and Bound States
Creation of Bound States
Quantum Engineering
Variations on a Theme
The Sine Transform
Periodic Potentials
Boundary Conditions
A Simple Example
Coding and Validation
Asymptotic Behavior
Relation among Boundary Conditions
Wavefunctions and Probability Distributions
Alloys
Superlattices
Impurities
Quantum Engineering
Index
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