Series
AY 2005
Quantum Mechanics II
Continuation of Quantum Mechanics I (Introduction to Quantum Mechanics and Quantum Mechanics in One-dimension) including study of symmetries and perturbation theory. Applications to orbital angular momentum, spherical symmetric potentials (three-dimension square well potential, hydrogen like atom, three-dimension harmonic oscillator etc.), spin angular momentum, spin-orbit interaction and composition of angular momentum. A concept of symmetries is characterized by orbital angular momentum, spin angular momentum and interchange of the two particles. Perturbation theory provides specific approach to the calculation, and students should be able to understand when a quantum mechanics approach to a problem may be advantageous and necessary. Topics include time-independent/ time-dependent perturbation theory, transition probability, and variation method. The discussion continues in Quantum Mechanics III (scattering, many-electron problems, interaction of electric field and electrons).
Content List
Resources
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pre シュレディンガー方程式を導く
Lecturer | Takeo Fujiwara
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Available
Resources
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#1 (1) Linear Algebra and Quantum Mechanics 1E.PDF
Lecturer | Takeo Fujiwara
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Available
Resources
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Available
#2 2-2 Definition of Angular Momentum and Its Commutation Relations 2-2E.PDF 2-3E.PDF
Lecturer | Takeo Fujiwara
Resources
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Available
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Available
#3 2-3 Rotation Invariance and Orbital Angular Momentum 2-3E.PDF
Lecturer | Takeo Fujiwara
Resources
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Available
Resources
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Available
#4 2-4 Eigenfunction of Orbital Angular Momentum 2E.PDF
Lecturer | Takeo Fujiwara
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Available
Resources
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Available
#6 (3) Spin Angular Momentum 4-1E.PDF
Lecturer | Takeo Fujiwara
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Available
Resources
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Available
#7 3-3 Interactions of Spin and Magnetic Field 4-1E.PDF
Lecturer | Takeo Fujiwara
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Available
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#8 (4) Behavior of Electrons in Magnetic Field : FGauge Transformation and AB Effect 5E.PDF
Lecturer | Takeo Fujiwara
Resources
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Available
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#9 (5) Perturbation Theory
Lecturer | Takeo Fujiwara
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Available
Resources
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Available
#10 5-3 Time-dependent Perturbation and Fermi's Golden Rule 6-2E.PDF
Lecturer | Takeo Fujiwara
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#11 5-4 Pertubation in degeneracy6-1E.PDF
Lecturer | Takeo Fujiwara
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Available
Resources
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#13 5-5 Variation Method 6-1E.PDF
Lecturer | Takeo Fujiwara
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Available
Resources
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Available
#14 (6) Symmetries and Wavefunctions 7E.PDF
Lecturer | Takeo Fujiwara
Resources
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Available