Simple Problems in Quantum Mechanics

1996 Lectures are below

September 18, 1995

Free Particle Time Dependence

Other Time Dependence Formalisms

Other Formalisms - Resolvant Operator, Path Integral

Path Integral Continued

Intrepretations of the Commutator

Tunneling

Tunneling B

September 20, 1995

Tunneling C

Tunneling D

Tunneling E

Tunneling F

September 24, 1996

Simple Potential Problems in Quantum Mechanics: 9-24-96

Illustrations for Simple Potential Problems in Quantum Mechanics


Overheads: The Free Particle

Schrodinger Equation for a Free Particle

Wave Function

Box Normalization of Wave Function

Time Dependent Schrodinger Equation

Matter Wave

Time Dependence

Heisenberg Equation of Motion

Evolution Operator A

Evolution Operator B

Interaction Picture A

Interaction Picture B

Interaction Picture C

The Propagator

The Resolvent Operator

Greens Function and the Evolution Operator

The Path Integral A

The Path Integral B

The Path Integral C


Transmission through a Barrier

Barrier

Schrodinger Equation

Boundary Conditions 1.

Boundary Conditions 2.

Boundary Conditions 3.

Continuity Conditions 4.

Continuity Conditions 5.

Continuity Conditions 6.

Continuity Conditions 7.

Transmission and Reflection

Matrix Equation for Amplitudes

Transmission and Reflection Diagram

Tranvesal time through barrier

Traversal Time 1.

Traversal Time 2.

Traversal Time Figure

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