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Thaller B. — Visual quantum mechanics
Thaller B. — Visual quantum mechanics



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Название: Visual quantum mechanics

Автор: Thaller B.

Аннотация:

The use of visualization techniques greatly enhances the understanding of quantum mechanics as it allows us to depict phenomena that cannot be seen by any other means. "Visual Quantum Mechanics" uses the computer generated animations found on the accompanying CD-ROM to introduce, motivate, and illustrate the concepts explained in the book. For example, by watching QuickTime movies of the solutions of Schroedinger's equation, students will be able to develop a feeling for the behavior of quantum mechanical systems that cannot be gained by conventional means. While there are other books on the market that use Mathematica and Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner, with no special emphasis on computational physics or the requirement that the reader know a symbolic computation package or Mathematica. In this book, instead, the computer is used to provide easy access to a large collection of animated illustrations, interactive pictures, and lots of supplementary materials. "Visual Quantum Mechanics" takes a mathematical rather than a physical approach to quantum mechanics, and includes results more typical in more advanced books but which are more comprehensible via visualization. Despite the presentations of advanced results, the book requires only calculus, and the book will fill the gap between classical quantum mechanics texts and mathematically advanced books. The book will have a home page at the author's institution (http://www.kfunigraz.ac.at/imawww/vqm/) which will include supplementary material, exercises and solutions, additional animations, and links to other sites with quantum mechanical visualization. This book along with its accompanying CD-ROM, which contains over 300 digital movies, form a complete introductory course on spinless particles in one and two dimensions. There is a second book in development which will cover such topics as spherical symmetry in three dimensions, the hydrogen atom, scattering theory and resonances, periodic potentials, particles with spin, an relativistic problems (the Dirac equation).


Язык: en

Рубрика: Физика/Квантовая механика/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 283

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Schrodinger operators      96
Schwartz space      179
Self-adjoint      144
Shifted initial state      175 215
Sobolev inequality      45
Space reflection      28
Spectral supersymmetry      180
Spherical symmetry      218 219
Spin-1/2      13
Spinor wave function      14
Spreading of wave packets      62
Spring constant      158
square-integrable      17
Square-summable      23
Standard deviation      43
State      85
Stationary plane wave      9 16
Stationary Schrodinger equation      117
Stationary state      117
Statistical interpretation      64
Step function      122
Step potential      231
Stereographic projection      3
Stone’s theorem      146
Strict solution      136
Strong continuity      139
Substitution rule      91
Superposition      16 55
Superposition of eigenstates      199
Superposition of oscillator eigenstates      168
Superposition principle      55 86
Supersymmetry      179
symmetric      90 141
Symmetry      153
Symmetry in time      169
Tensor product      178
Test functions      46
Time delay      244
Time evolution      136
Time evolution, asymptotics      75
Time evolution, Dirichlet box      119
Time evolution, energy representation      82
Time evolution, free      59
Time evolution, harmonic oscillator      168
Time evolution, magnetic field      217
Time evolution, observables      171 195 213
Time evolution, unit function      120
Total reflection      232
Transition matrix      241
Transition probability      104
Translation      34 147 174
Translation in a magnetic field      211
Transmission coefficient      232
Transmission probability      232
Trigonometric sum      16
Tunnel effect      246
Turning points      159
Unbounded operator      31 144
Uncertainty      43 90 152
Uncertainty principle lemma      45
Uncertainty relation      34 41 68 152 166
Unitary      138 143
Unitary group      139 146
Vector potential      96
Velocity operator      203
Violation of supersymmetry      181
Wave      50
Wave function      1
Wave function for particle with spin      13
wave number      16 50
Wave packet      55 109 234
Wave packet, collapse      102
Wave packet, in energy space      81
Wave packet, spreading      62
Wave vector      50
Wave-particle dualism      50
Wavelength      50
Weyl relations      149 174 185
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