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Advanced Quantum Mechanics 2
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UoM P&AOER
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Section 4.8: Aharonov-Bohm effect 1: Bound states
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Section 5.1: Sum of paths
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5
Path Integrals
Last change 15/3/2012
Contents for Chapter 5
Section 5.1: Sum of paths
Subsection 5.1.1: Free particle
Subsection 5.1.2: General approach
Section 5.2: Interpretation
Section 5.3: Free particle revisited
Section 5.4: General Gaussian integrals
Section 5.5: Harmonic oscillator
Subsection 5.5.1: The determinant
Subsection 5.5.2: The classical action
Subsection 5.5.3: The complete continuum limit
Section 5.6: Time-dependent oscillator
Section 5.7: Semi-classical limit
Subsection 5.7.1: Classical limit
Subsection 5.7.2: Asymptotic analysis of integrals
Subsection 5.7.3: Gaussian expansion of path integrals
Section 5.8: Slits
Subsection 5.8.1: Single slit
Subsection 5.8.2: Aharonov-Bohm II
Section 5.9: Brownian Motion
Section 5.10: Time-ordered Perturbation Theory
Section 5.11: Partition sum
Section 5.12: Perturbation theory for the ground state energy
Section 5.13: Potential scattering
Section 5.14: Numerical calculations
Prev
Section 4.8: Aharonov-Bohm effect 1: Bound states
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Section 5.1: Sum of paths
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