Instructor: Prof. Reshmi Mukherjee, Altschul 506, 854-5101, rmukherj@barnard.edu

Time and place: TR 1:10-2:55, Altschul 401 (lectures) and

Textbook

Course Syllabus:

- A: Historical Introduction:
- (a) Crucial new discoveries; electrons, atoms & photons. Inadequacies of classical physics.
- (b) Classical models of atoms. Line spectra. Inability of classical models to explain the spectral series.
- (c) Blackbody radiation; photoelectric effect; Compton effect and the photon. (Particle nature of light).

- B: Quantum Physics:
- (a) Bohr's theory and explanation of spectral lines.
- (b) Frank-Hertz experiment. Direct evidence of discreteness of energy bands.
- (c) Moseley's X-ray spectra.

- C: Wave nature of particles:
- (a) De Broglie waves - particles as wave packets.
- (b) Experimental verification. Davisson Germer and G.P. Thomson's experiment.
- (c) Probabilistic interpretation of de Broglie waves.
- (d) Heisenberg's uncertainty principle.
- (e) Fourier Series & Fourier Transforms

- D: Wave Mechanics:
- (a) Schrodinger equation for the wave equation.
- (b) Operators and eigenfunctions.
- (c) Observables and commuting operators.
- (d) Expectation values of operators.
- (e) Bound state problems: (i) Infinite square well (particle in a box) (ii) 2-electrons in a box (Fermi statistics) (iii) Many electrons in a box (Fermi sea).

- E: Harmonic Oscillator:

- F: Schrodinger equation in 3-dimensions:
- (a) Spherically symmetric potential.
- (b) Separation of variables.
- (c) Hydrogen atom.

- E: Tunneling:
- (a) WKB
- (b) alpha decay

- G: General Topics (if time permits):
- (a) Time-indeendent perturbation theory. Anharmonic oscillator.
- (b) Aharanov-Bohm effect.
- (c) Feynman path integral.
- (d) Landau problem - basics of integral quantum Hall effect.

Here is a tentative schedule. Changes to this schedule (if any) will be announced in class.

- Week 01: 17, 19 Jan:
- Week 02: 24, 26 Jan:
- Week 03: 31 Jan, 2 Feb:
- Week 04: 7, 9 Feb: Lab 1 due
- Week 04: 14, 16 Feb:
- Week 04: 21, 23 Feb:
- Week 05: 28 Feb, 2 Mar: Lab 2 due
- Week 05: 7, 9 Mar: MIDTERM Mar 9
- Week 05: 14, 16 Mar: SPRING BREAK
- Week 05: 21, 23 Mar:
- Week 05: 28, 30 Mar: QUIZ: Mar 30
- Week 10: 4, 6 Apr: Lab 3 due
- Week 10: 11, 13 Apr:
- Week 10: 18, 20 Apr:
- Week 10: 25, 27 Apr: QUIZ Apr 25, Lab 4 due
- Week 14: 9 May: Final Exam

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