The Physics of Quantum Mechanics

دانلود کتاب The Physics of Quantum Mechanics

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توضیحاتی در مورد کتاب The Physics of Quantum Mechanics

نام کتاب : The Physics of Quantum Mechanics
عنوان ترجمه شده به فارسی : فیزیک مکانیک کوانتومی
سری :
نویسندگان :
ناشر : Oberlin College
سال نشر : 2021
تعداد صفحات : 397

زبان کتاب : English
فرمت کتاب : pdf
حجم کتاب : 2 مگابایت



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فهرست مطالب :


Welcome
What is Quantum Mechanics About?
Quantization
Interference
Aharonov-Bohm effect
Light on the atoms
Entanglement
Quantum cryptography
What is a qubit?
Forging Mathematical Tools
What is a quantal state?
Amplitude
Reversal-conjugation relation
Establishing a phase convention
How can I specify a quantal state?
States for entangled systems
Are states ``real\'\'?
What is a qubit?
Refining Mathematical Tools
Extras
Outer products, operators, measurement
Photon polarization
Lightning linear algebra
Problems
Formalism
The role of formalism
The density matrix
Time Evolution
Operator for time evolution
Working with the Schrödinger equation
Formal properties of time evolution; Conservation laws
Magnetic moment in a uniform magnetic field
The neutral K meson
The Quantum Mechanics of Position
Describing states in continuum systems
How does position amplitude change with time?
What is wavefunction?
Operators and their representations; The momentum basis
Time evolution of average quantities
The Free Particle
Problems
Square Wells
What does an electron look like?
The Simple Harmonic Oscillator
Resume of energy eigenproblem
Solution of the energy eigenproblem: Differential equation approach
Solution of the energy eigenproblem: Operator factorization approach
Problems
Qualitative Solution of Energy Eigenproblems
Perturbation Theory
The O notation
Perturbation theory for cubic equations
Derivation of perturbation theory for the energy eigenproblem
Perturbation theory for the energy eigenproblem: Summary of results
Problems
Quantum Mechanics in Two and Three Dimensions
More degrees of freedom
Vector operators
Multiple particles
The phenomena of quantum mechanics
Angular Momentum
Solution of the angular momentum eigenproblem
Summary of the angular momentum eigenproblem
Ordinary differential equations for the d(j)m,m\'()
Problems
Central Force Motion
Energy eigenproblem in two dimensions
Energy eigenproblem in three dimensions
Bound state energy eigenproblem for Coulombic potentials
Summary of the bound state energy eigenproblem for a Coulombic potential
Problems
Identical Particles
Many-particle systems in quantum mechanics
An antisymmetric basis for the helium problem
Breather
Scaled variables
Variational method for finding the ground state energy
Problems
Hydrogen
The Stark effect
Helium
Ground state energy of helium
Atoms
Addition of angular momenta
Hartree-Fock approximation
Atomic ground states
Molecules
The hydrogen molecule ion
Problems
The hydrogen molecule
Can we do better?
WKB: The Quasiclassical Approximation
The connection region
Why is WKB the ``quasiclassical\'\' approximation?
The ``power law\'\' potential
The Interaction of Matter and Radiation
Perturbation Theory for the Time Development Problem
Setup
Light absorption
Absorbing incoherent light
Absorbing and emitting light
Problems
The Territory Ahead
Appendix A Tutorial on Matrix Diagonalization
What\'s in a name?
Vectors in two dimensions
Tensors in two dimensions
Tensors in three dimensions
Tensors in d dimensions
Linear transformations in two dimensions
What does ``eigen\'\' mean?
How to diagonalize a symmetric matrix
A glance at computer algorithms
A glance at non-symmetric matrices and the Jordan form
Appendix B The Spherical Harmonics
Appendix C Radial Wavefunctions for the Coulomb Problem
Appendix D Quantum Mechanics Cheat Sheet
Index




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