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Quantum Mechanics in a Nutshell

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ISBN-10: 0691137137

ISBN-13: 9780691137131

Edition: 2009

Authors: Gerald D. Mahan

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Book details

List price: $110.00
Copyright year: 2009
Publisher: Princeton University Press
Publication date: 1/18/2009
Binding: Hardcover
Pages: 416
Size: 6.97" wide x 10.24" long x 1.11" tall
Weight: 2.508
Language: English

Gerald D. Mahan is Distinguished Professor of Physics at Pennsylvania State University. He is the author of two previous physics textbooks, "Many-Particle Physics" and "Applied Mathematics".

Preface xi
Introduction
Introduction
Schrouml;dinger's Equation
Eigenfunctions
Measurement
Representations
Schrouml;dinger Representation
Heisenberg Representation
Noncommuting Operators
One Dimension
Square Well
Linear Potentials
Harmonic Oscillator
Raising and Lowering Operators
Exponential Potential
Bound State
Continuum State
Delta-Function Potential
Number of Solutions
Normalization
Bound States
Box Normalization
Delta-Function Normalization
The Limit of Infinite Volume
Wave Packets
Approximate Methods
WKBJ
Bound States by WKBJ
Harmonic Oscillator
Morse Potential
Symmetric Ramp
Discontinuous Potentials
Electron Tunneling
Variational Theory
Half-Space Potential
Harmonic Oscillator in One Dimension
Spin and Angular Momentum
Operators, Eigenvalues, and Eigenfunctions
Commutation Relations
Raising and Lowering Operators
Eigenfunctions and Eigenvalues
Representations
Rigid Rotations
The Addition of Angular Momentum
Two and Three Dimensions
Plane Waves in Three Dimensions
Plane Waves in Two Dimensions
Central Potentials
Central Potentials in 3D
Central Potential in 2D
Coulomb Potentials
Bound States
Confluent Hypergeometric Functions
Hydrogen Eigenfunctions
Continuum States
WKBJ
Three Dimensions
3D Hydrogen Atom
Two Dimensions
Hydrogen-like Atoms
Quantum Defect
WKBJ Derivation
Expectation Values
Variational Theory
Hydrogen Atom:n1
Hydrogen Atom:l1
Helium Atom
Free Particles in a Magnetic Field
Gauges
Eigenfunctions and Eigenvalues
Density of States
Quantum Hall Effect
Flux Quantization
Matrix Methods and Perturbation Theory
H and H0
Matrix Methods
2 x 2
Coupled Spins
Tight-Binding Model
The Stark Effect
Perturbation Theory
General Formulas
Harmonic Oscillator in Electric Field
Continuum States
Green's Function
The Polarizability
Quantum Definition
Polarizability of Hydrogen
Van der Waals Potential
Spin-Orbit Interaction
Spin-Orbit in Atoms
Alkali Valence Electron in Electric Field
Bound Particles in Magnetic Fields