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MIII: Bound States of a
Particle in a "Potential Well" of Arbitrary Shape |
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NIII: Unbound States of a
Particle in the Presence of a Potential Well or Barrier of Arbitrary
Shape |
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OIII: Quantum Properties of
a Particle in a One-dimensional Periodic Structure |
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Chapter IV
Application of Postulates to Simple Cases: Spin and Two-level Systems |
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A. Spin 1/2 Particle: Quantization of the Angular Momentum |
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B. Illustration of the Postulates in the Case of a Spin 1/2 |
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C. General Study of Two-level Systems |
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Complements of Chapter IV |
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Reader's Guide |
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AIV: The Pauli Matrices |
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BIV: Diagonalization of a 2
x 2 Hermitian Matrix |
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CIV: Fictitious Spin 1/2
Associated with a Two-level System |
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DIV: System of Two Spin 1/2
Particles |
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EIV: Spin 1/2 Density Matrix |
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FIV: Spin 1/2 Particle in a
Static Magnetic Field and a Rotating Field: Magnetic Resonance |
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GIV: A Simple Model of the
Ammonia Molecule |
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HIV: Coupling Between a
Stable State and an Unstable State |
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JIV: Exercises |
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Chapter V
The One-dimensional Harmonic Oscillator |
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A. Introduction |
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B. Eigenvalues of the Hamiltonian |
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C. Eigenstates of the Hamiltonian |
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D. Discussion |
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Reader's Guide |
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AV: Some Examples of
Harmonic Oscillators |
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BV: Study of the
Stationary States in the { | x > } Representation Hermite Polynomials |
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CV: Solving the Eigenvalue
Equation of the Harmonic Oscillator by the Polynomial Method |
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DV: Study of the
Stationary States in the { | p > } Representation |
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EV: The Isotropic
three-dimensional Harmonic Oscillator |
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