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
Resources
Available
Resources
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#1 (1) Linear Algebra and Quantum Mechanics 1E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
Available

#2   2-2 Definition of Angular Momentum and Its Commutation Relations 2-2E.PDF 2-3E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
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#3   2-3 Rotation Invariance and Orbital Angular Momentum 2-3E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
Available

#4   2-4 Eigenfunction of Orbital Angular Momentum 2E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
Available

#6 (3) Spin Angular Momentum 4-1E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
Available

#7   3-3 Interactions of Spin and Magnetic Field 4-1E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
Available

#8 (4) Behavior of Electrons in Magnetic Field : FGauge Transformation and AB Effect 5E.PDF

Lecturer | Takeo Fujiwara
Resources
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Resources
Available

#9 (5) Perturbation Theory

Lecturer | Takeo Fujiwara
Resources
Available
Resources
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#10   5-3 Time-dependent Perturbation and Fermi's Golden Rule 6-2E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
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#11   5-4 Pertubation in degeneracy6-1E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
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#13   5-5 Variation Method 6-1E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
Resources
Available

#14 (6) Symmetries and Wavefunctions 7E.PDF

Lecturer | Takeo Fujiwara
Resources
Available
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