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Quantum Mechanics - An intermediate level course (Lecture Notes for an upper-division undergraduate quantum mechanics course)

Quantum Mechanics - An intermediate level course (Lecture Notes for an upper-division undergraduate quantum mechanics course)

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Quantum Mechanics - An intermediate level course (Lecture Notes for an upper-division undergraduate quantum mechanics course)

Quantum Mechanics - An intermediate level course (Lecture Notes for an upper-division undergraduate quantum mechanics course) Summary:

 
A complete set of lecture notes for an upper-division undergraduate quantum mechanics course. Topics covered include fundamental concepts, one-dimensional potentials, central potentials, angular momentum, the hydrogen atom, time-independent perturbation theory, time-dependent perturbation theory, variational methods, and scattering theory.
  • Contents
    • Introduction
      • Intended audience
      • Major sources
      • Aim of course
      • Outline of course

  • Fundamentals
    • Probability theory
      • Introduction
      • What is probability?
      • Combining probabilities
      • The mean, variance, and standard deviation
      • Continuous probability distributions
    • Wave-particle duality
      • Introduction
      • Classical light-waves
      • The photoelectric effect
      • Quantum theory of light
      • Classical interference of light-waves
      • Quantum interference of light
      • Classical particles
      • Quantum particles
      • Wave-packets
      • Evolution of wave-packets
      • Heisenberg's uncertainty principle
      • Schrödinger's equation
      • Collapse of the wave-function
    • Fundamentals of quantum mechanics
      • Introduction
      • Schrödinger's equation
      • Normalization of the wave-function
      • Expectation values and variances
      • Ehrenfest's theorem
      • Operators
      • The momentum representation
      • The uncertainty principle
      • Eigenstates and eigenvalues
      • Measurement
      • Continuous eigenvalues
      • Stationary states
    • One-dimensional potentials
      • Introduction
      • The infinite potential well
      • The square potential barrier
      • The WKB approximation
      • Cold emission
      • -decay
      • The square potential well
      • The simple harmonic oscillator
    • Multi-particle systems
      • Introduction
      • Fundamental concepts
      • Non-interacting particles
      • Two-particle systems
      • Identical particles
    • Three-dimensional quantum mechanics
      • Introduction
      • Fundamental concepts
      • Particle in a box
      • Degenerate electron gases
      • White-dwarf stars
    • Orbital angular momentum
      • Introduction
      • Angular momentum operators
      • Representation of angular momentum
      • Eigenstates of angular momentum
      • Eigenvalues of
      • Eigenvalues of
      • Spherical harmonics
    • Central potentials
      • Introduction
      • Derivation of radial equation
      • The infinite potential well
      • The hydrogen atom
      • The Rydberg formula
    • Spin angular momentum
      • Introduction
      • Spin operators
      • Spin space
      • Eigenstates of and
      • The Pauli representation
      • Spin precession
    • Addition of angular momentum
      • Introduction
      • General principles
      • Angular momentum in the hydrogen atom
      • Two spin one-half particles

  • Applications
    • Time-independent perturbation theory
      • Introduction
      • Improved notation
      • The two-state system
      • Non-degenerate perturbation theory
      • The quadratic Stark effect
      • Degenerate perturbation theory
      • The linear Stark effect
      • The fine structure of hydrogen
      • The Zeeman effect
      • Hyperfine structure
    • Time-dependent perturbation theory
      • Introduction
      • Preliminary analysis
      • The two-state system
      • Spin magnetic resonance
      • Perturbation expansion
      • Harmonic perturbations
      • Electromagnetic radiation
      • The electric dipole approximation
      • Spontaneous emission
      • Radiation from a harmonic oscillator
      • Selection rules
      • transitions in hydrogen
      • Intensity rules
      • Forbidden transitions
    • Variational methods
      • Introduction
      • The variational principle
      • The helium atom
      • The hydrogen molecule ion
    • Scattering theory
      • Introduction
      • Fundamentals
      • The Born approximation
      • Partial waves
      • Determination of phase-shifts
      • Hard sphere scattering
      • Low energy scattering
      • Resonances
 
 
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Quantum Mechanics - An intermediate level course (Lecture Notes for an upper-division undergraduate quantum mechanics course) Keywords

  momentum   angular   quantum   perturbation   spin   hydrogen   particles   mechanics   scattering   eigenvalues   potentials   potential   variational   probability   fundamentals   operators   principle   eigenstates   angular momentum   quantum mechanics   fundamental concepts   momentum introduction   perturbation theory   uncertainty principle   potentials introduction   introduction fundamental   infinite potential   mechanics introduction   angular momentum introduction   introduction fundamental concepts

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