|
|
|
|
Home >>
Natural Sciences
>>
Physics
Home >>
Engineering
>>
Mechanical Engineering
|
Quantum Mechanics for Scientists and Engineers |
 |
|
Contents
|
|
Introduction:Quantum mechanics and real life, Quantum mechanics as an intellectual achievement
|
|
Waves and quantum mechanics – Schrödinger’s equation:Diffraction by two slits
|
|
The time-dependent Schrödinger equation:Quantum mechanical measurement and expectation values
|
|
Functions and operators:Bilinear expansion of linear operators, Hermitian operators
|
|
Operators and quantum mechanics:Commutation of operators, General form of the uncertainty principle
|
|
Approximation methods in quantum mechanics:Degenerate perturbation theory, Variational method
|
|
Time-dependent perturbation theory:Simple oscillating perturbations, Refractive index
|
|
Quantum mechanics in crystalline materials:One electron approximation, Band structure
|
|
Angular momentum:L squared operator, Visualization of angular momentum
|
|
The hydrogen atom:Multiple particle wavefunctions, Coordinates for the hydrogen atom problem
|
|
Methods for one-dimensional problems:Transfer matrix, Electron emission with a potential barrier
|
|
Spin:Angular momentum and magnetic moments, Direct product spaces and wavefunctions with spin
|
|
Identical particles:Pauli exclusion principle, Extension to more than two identical particles
|
|
The density matrix:Pure and mixed states, Time-evolution of the density matrix
|
|
Harmonic oscillators and photons:Quantization of electromagnetic fields, Field operators
|
|
Fermion operators:Postulation of fermion annihilation and creation operators, Wavefunction operator
|
|
Interaction of different kinds of particles:Operators for systems with different kinds of particles
|
|
Quantum information:Quantum mechanical measurements and wavefunction collapse, Quantum computing
|
|
Interpretation of quantum mechanics:Hidden variables and Bell’s inequalities, Epilogue
|
|
Appendix A Background mathematics:Exponential and logarithm notation
|
|
Appendix B Background physics:Elementary classical mechanics, Waves and diffraction
|
|
Appendix C Vector calculus:Spherical polar coordinates, Cylindrical coordinates
|
|
Appendix D Maxwell’s equations and electromagnetism:Maxwell’s equations in free space
|
|
Appendix E Perturbing Hamiltonian for optical absorption:Quantum mechanical Hamiltonian
|
|
Appendix F Early history of quantum mechanics
|
|
Appendix G Some useful mathematical formulae:Formulae for sines, cosines, and exponentials
|
|
Appendix H Greek alphabet
|
|
Appendix I Fundamental constants
|
|
Bibliography
|
|
Memorization list
|
|
Index
|
| |
|
Related Documents:
|
|
|
| |
