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# Physics 3740

Introduction to relativity and Quantum Mechanics

Evolving Provisional Agenda

Spring Semester 2012

Week 1,
Week 2,
Week 3,
Week 4,

Week 5,
Week 6,
Week 7,
Week 8,

Week 9,
Week 10,
Week 11,
Week 12,

Week 13,
Week 14,
Week 15

**Week 01**

1) Tuesday January 10th

Introduction to class

**I) Introduction to special relativity, Lorentz transformations (Lecture notes)
**

(See the Einstein 1905 paper at fourmilab or in pdf)

**A)** Electromagnetism

**B)** Galilean relativity

helson and Morley experiment

2) Thursday January 12th

**C)** Measurements of the speed of light, Michelson and Morley's experiment

**D)** Implications of Michelson and Morley's experiment: time dilation and space contraction

3) Friday January 13th

Recitation 1

**Week 02**

4) Tuesday January 17th

**E)** Space time diagrams

**F)** Lorentz transform (velocity addition, geometry, causality relation and space-time intervals)

See this very interesting derivation of the Lorentz transformation.

5) Thursday January 19th

**F)** Lorentz transform continued (velocity addition, geometry, causality relation and space-time intervals)

6) Friday January 20th

Recitation 2

**Week 03**

7) Tuesday January 24th

**G)** Consequences of Lorentz transform: Headlight effect, Doppler effect

8) Thursday January 26th

**II) Relativistic mechanics (Lecture notes)**

**A)** Introduction: the classical momentum is not conserved

**B)** Definitions: scalars and 4-vectors

**C)** 4-velocity

**D)** 4-momentum

9) Friday January 27th

**Week 04**

10) Tuesday January 31st

**D)** 4-momentum continued

11) Thursday February 2nd

**E)** Case study: Common exam 2006, exercise 10

**F)** 2 bodies -> 1 body collision

12) Friday February 3rd

Recitation 3

**Week 05**

13) Tuesday February 7th

**G)** Compton scattering

Case study:Common exam 2009, exercise 10, Inverse Compton - pair creation cascade

14) Thursday February 9th

***)** Appendix on nuclear physics including the liquid drop nuclear model (notes)

15) Friday February 10th

Recitation 4

**Week 06**

16) Tuesday February 14th

***)** Appendix on nuclear physics continued

17) Thursday February 16th

**III) Emergence of quantum physics (Lecture notes) **

**A)** Introduction: quantization of matter and charge

18) Friday February 17th

**Week 07**

19) Tuesday February 21rd

**B)** Black body radiation: the failure of classical physics and Planck's law

20) Thursday February 23th

**C)** Photo-electric effect (Einstein 1905 paper)

21) Friday February 24th

MIDTERM I

**Week 08**

22) Tuesday February 28th

**D)** Rutherford's experiment and cross section

23) Thursday March 1st

**E)** Bohr's hydrogenoid atom and application to other systems

24) Friday March 2nd

Exercise 1 of Common exam 2006 and Recitation 5

**Week 09**

25) Tuesday March 6th

**IV) Waves and particles (Lecture notes)**

**A)** de Broglie's relations

**B)** Classical wave packets and uncertainty relations

26) Thursday March 8th

**C)** Probabilities and wave functions

27) Friday March 9th

Recitation 6

... Tuesday March 13rd

SPRING BREAK

... Thursday March 15th

SPRING BREAK

... Friday March 16th

SPRING BREAK

**Week 10**

28) Tuesday March 20th

**D)** Schrodinger equation

**E)** Infinite square well

29) Thursday March 22th

**E)** Infinite square well continued

30) Friday March 23rd

Recitation 7

**Week 11**

31) Tuesday March 27th

**F)** Finite square well (abacus)

32) Thursday March 29th

**H)** Transmition, reflection, tunnel effect

**I)** Double well problem. It will not be treated in class but you can read all the details here. Yes, you can! And just for that reason, you should try.

33) Friday March 30th

Recitation

Recitation 8

**Week 12**

34) Tuesday April 3rd

**G)** Harmonic oscillator

35) Thursday April 5th

**G)** Harmonic oscillator continued

36) Friday April 6th

MIDTERM II

**Week 13**

37) Tuesday April 10th

****)** Appendix B on the mathematical construction of quantum mechanics

38) Thursday April 12th

****)** Appendix C on transitions and radiation

39) Friday April 13th

Review

**Week 14**

40) Tuesday April 17th

**V) Quantum mechanics in more than one dimension with more than one particle (Lecture notes)**

41) Thursday April 19nd

42) Friday April 20rd

Review

**Week 15**

43) Tuesday April 24th

**Final test**