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Elementary quantum mechanics in one dimension / Robert Gilmore.
Math/Physics/Astronomy Library QC174.12 .G55 2004
Available
- Format:
- Book
- Author/Creator:
- Gilmore, Robert, 1941-
- Language:
- English
- Subjects (All):
- Quantum theory.
- Physical Description:
- x, 229 pages : illustrations ; 24 cm
- Place of Publication:
- Baltimore, Md. : Johns Hopkins University Press, 2004.
- Summary:
- 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." -- "American Journal of Physics
- Contents:
- Part I Foundations
- 1 Schrodinger's Equation 3
- 2 Solutions in a Constant Potential 5
- 3 Wavefunctions across a Boundary 9
- 4 Piecewise Constant Potentials 15
- 5 Momentum Conservation 25
- 6 Preview of Boundary Conditions 29
- 7 Units 33
- Part II Scattering
- 8 Boundary Conditions 37
- 10 Coding and Validation 43
- 11 Shape of Barrier 45
- 12 Asymptotic Behavior 49
- 13 Phase Shifts 53
- 14 Double Barrier 59
- 15 Multiple Barriers 67
- 16 Probability Distributions 69
- 17 Combining Barriers 73
- 18 Quantum Engineering 79
- 19 Variations on a Theme 83
- Part III Bound States
- 20 Boundary Conditions 91
- 22 Coding and Validation 95
- 23 Shape of Potential 97
- 24 Dependence on Parameters 101
- 25 Relation between Bound and Scattering States 105
- 26 Double and Multiple Well Potentials 113
- 27 Level Splitting 117
- 28 Symmetry Breaking 119
- 29 Wavefunctions 123
- 30 Superpositions, Overlaps, and Probabilities 129
- 31 Symmetry and Wavefunctions 135
- 32 Transmission Resonances and Bound States 143
- 33 Creation of Bound States 147
- 34 Quantum Engineering 151
- 35 Variations on a Theme 155
- 36 The Sine Transform 159
- Part IV Periodic Potentials
- 37 Boundary Conditions 167
- 39 Coding and Validation 179
- 40 Asymptotic Behavior 183
- 41 Relation among Boundary Conditions 187
- 42 Wavefunctions and Probability Distributions 193
- 43 Alloys 199
- 44 Superlattices 203
- 45 Impurities 207
- 46 Quantum Engineering 213.
- Notes:
- Includes index.
- Local Notes:
- Acquired for the Penn Libraries with assistance from the Class of 1932 Fund.
- ISBN:
- 0801880149
- 0801880157
- OCLC:
- 55665347
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