Prof. Masatsugu Sei Suzuki
Department of Physics, SUNY-Binghamton


This is a Prof. Masatsugu Suzuki's personal web page, where his lecture notes are posted.

Prof. Suzuki's official page:
Research Information
Publication List
Advisors & Collaborators

Lecture Notes:
General Physics
Computational Physics-about
Computational Physics-contents
Method of Theoretical Physics
Modern Physics
Solid State Physics
Quantum Mechanics - Graduate course
Quantum Mechanics I
Quantum Mechanics II
Senior Laboratory
Statistical Thermodynamics


Lecture Notes on Quantum Mechanics II

Syllabus (Spring 2015)

1 Vector analysis
1-1 Differential operators -Cylindrical coordinates-angular momentum
1-2 Differential operators -Spherical coordinates
1-3 Differential operators -Cartesian coordinates
1-4 Differential operators in spherical coordinates (Mathematica)
1-5 Differential operators in cylindrical coordinate (Mathematica)
1-6 Differential operators in cartesian coordinate (Mathematica)

2-1 Feynman path integral
2-2 Feynman path integral-application

3-1 Radial linear momentum
3-2 Translation operator for the 3D system
3-3 Orbital angular momentum epsilon delta relation
3-4 Linear radial momentum operator (Mathematica file)

4-1 Central-field problem
4-2 Hydrogen atom operators
4-3 Radial wave function
4-4 Series expansion method
4-5 p-, d- and f-orbitals
4-6 Feynman-Hellmann and Kramers methods
4-7 Probability density plot
4-8 Runge-Lentz method
4-9 Spherical harmonics
4-10 Infrared absorption of HCl.
4-11 Current density for hydrogen atom

5-1 3D isotropic simple harmonics
5-2 2D isotropic simple harmonics
5-3 Free Particle in spherical coordinates
5-4 Finite spherical well
5-5 Confining circle and 2D square well
5-6 3D anisotropic oscillator problem
5-7 Spherical Bessel function
5-8 3D simple harmonics ladder operator
5-9 2D isotropic simple harmonics series expansion
5-10 2D isotropic simple harmonics operator method
5-11 Binding energy of atoms: magic number

6-1 Time-independent perturbation
6-2 Stark effect
6-3 Real hydrogen atom
6-4 Spin orbit interaction
6-5 NH3 maser physics for perturbation
6-6 Hyperfine splitting
6-7 Zeeman effect theory
6-8 2D rotor in electric field
6-9 Sakurai Napolitano Chapter 5 selected problems and solutions

7-1 Time dependent perturbation again
7-2 Photoelectric effect
7-3 Radiation field
7-4 Adiabatic and sudden change
7-5 Zeeman effect
7-6 Dipole selection rules
7-7 Exact solution of Zeeman effect with spin-orbit interaction

8-1 Identical particles
8-2 Relative orbital angular momentum
8-3 He atoms
8-3S Helium atom and origin of ferromagnetism by Heisenberg
8-4 Hydrogen atom H2+
8-5 Periodic table Hund rule
8-6 Deuteron
8-7 Even and odd function for toy model
8-8 Intrinsic parity

9 Variation method

10-1 Addition of angular momentum
10-2 Addition of angular momentum using Kronecker product
10-3 Young tableau
10-4 Wigner-Eckart Theorem
10-5 Tensor operator
10-6 Clebsch-Gordan coefficient (Mathematica file)
10-7 Three spin one-half particles and unitary operator (pdf)
10-7 Three spin one-half particles and unitary operator (Mathematica)

11 Isospin

12 3D Green function

13-1 Scattering theory.
13-2 Rutherford scattering.
13-3 Partial wave expansion
13-4 Laboratory and center of_mass system
13-5 Scattering of identical particles
13-6 Phase-shift analysis
13-7 Comparison between Born and phase shift
13-8 Scattering from the Yukawa potential

14-1 Quantized electromagnetic field
14-2 Atoms in a radiation field
14-3 Gauge transformation
14-4 Casimir effect
14-5 Landau level
14-6 Berry phase

15 Magnetic monopole

16 Time reversal operator

17 Dirac equation Relativistic electron theory

 

Revised: August 26, 2015