This is an archived course. A more recent version may be available at ocw.mit.edu.

 

Calendar

SES # Topics Readings & Handouts
1

Intro Lectures: Basic Nucleus Concepts

 
2

Intro Lectures: Wave-Particle Duality & Historical Background

 
3

Quantum Mechanics #1, #2

  • New Concepts
  • Postulate 1 (Observables & Operators)
  • Eigenvalue Problem, Compare Classical State, Free Particles
  • Postulate 2 (Quantum State, psi)
  • Postulate 3 (measurement probabilities)

Liboff 3.1-3.3

Postulates Handout

4

Quantum Mechanics #3, #4

  • Free Particle in Box, Quantization of Energy Levels
  • Interpretation of the Wave Function
  • Solutions in Classically Allowed and Disallowed Regions
  • 1D Scattering Problem, Outgoing B.C.
  • Normalization of psi, Flux Interpretation,
  • Transmission and Reflection Coefficients.
  • Particle in Square Well Energy Eigenvalue Problem
  • Graphical Solution - Fitting Wavelength in Well

Liboff 4.1, 4.2, 4.3

Liboff 7.5, 7.6, 7.7

5

Quantum Mechanics #5, #6

  • Commutators
  • Heisenberg Uncertainty Principle
  • Degenerary, Complete Sets of Commuting Observables

Liboff 5.1-5.5

6

Quantum Mechanics #7, #8

  • Postulate 4 (Time Evolution)Conservation Laws
  • d < A >/ dt Expression
  • Ehrenfest Principle and Classical Limit
  • Quantum Mechanical Angular Momentum
  • Eignevalue Problem (for L) via Commutator Algebra
  • Algebraic Possibility of 1/2 Integer l Values
  • Orbital Angular Momentum
  • Spin Angular Momentum
  • Coupled and Uncoupled Representations

Liboff 3.4, 3.5, 6.2

Liboff 9.1-9.3

7

Quantum Mechanics #9

  • Many Particle Wave Functions
  • Symmetries of the Many Particle psi Function
  • Fermions and the Pauli Exclusion Principle
  • Bosons
 
8

Mid-Term Exam

 
9

Nuclear Structure #1, #2

  • Essential Features of Nuclear Force
  • Guess the Potential, Vnuc
  • Center of Mass, Remove Degree of Freedom
  • Deuteron Eigenvalue Problem, Ground State
  • Physical Picture of Deuteron
  • Spin Dependence of the Nuclear Force
  • "Tensor" Interaction

Krane 3

Krane 4

10

Nuclear Structure #3, #4

  • Nuclear Shell Model, Oscillator Levels
  • Nuclear Shell Model #2, Spin-Orbit Coupling, Magic Numbers

Krane 5

11

Nuclear Structure #5 -Radioactive Decay, Alpha Decay

Krane 8

12

Gamma Decay

Liboff 10.7

Krane 10

13

Nuclear Interactions #1, - Charged Particle Interactions

Krane 9

Krane 7

14

Beta Decay Nuclear Interactions #1, - Charged Particle Interactions (Cont'd)

Liboff 10.7

Krane 10

15

Nuclear Interactions #2, #3

  • Gamma Ray Iteractions
  • Neutron Interactions

Krane 12

16

Nuclear Interactions #4, #5

  • Fission
  • Fusion

Krane 13

Krane 14