Postulates and Fundamentals of Quantum Mechanics

1996 Lectures are below

1996 Lectures in Streaming Audio below

September 15, 1995

Lecture V: QM Fundamentals RAM File

Lecture V: Fundamentals-Experiments

Lecture V: Two Slit Experiment

Lecture V: Fundamentals B

Lecture V: Fundamentals C

Lecture V: Fundamentals D

Lecture V: Fundamentals E

Lecture V: Fundamentals F

Lecture V: Fundamentals G

Lecture V: Properties of Wave Function

Lecture V: Properties of Operators

Lecture V: Adjoint, Transpose, Hermitian

September 17, 1995

Lecture VI: Wave Functions and Operators B

Lecture VI: Complete Description of QM System

Lecture VI: Uncertainty Principle

Lecture VI: Minimum Uncertainty State, Coherent State

Lecture VI: Operator Representations: Schroedinger Picture

Lecture VI: Coordinate Representation; Free Particle

Lecture VI: Free Particle

September 12, 1996

September 17, 1996

September 19, 1996

Young's Diffraction Experiment: Light through Two Slits

Young Diffraction Experiment 2

Young Diffraction Experiment 3

Electrons through Two Slits

Two Slit Experiment 2

Two Slit Experiment 3

Compton Effect

Compton Effect 2

Compton Effect 3

Fundamentals and Postulates of QM

Postulates: Wave Functions

The Adjoint of an Operator

Hilbert Space 1

Hilbert Space 2

Ortho-normality

Inner Product

Expansion of Function in Ortho-normal Set

Closure

Operators 1

Operators 2

Operators 3

Eigenvalues

Eigenvalue Theorem 1

Eigenvalue Theorem 2

Completeness

Theorem using Dirac Notation 1

Theorem using Dirac Notation 2

Theorem using Dirac Notation 3

Matrix Intrepretation

Commutation Relations

Hermitian Operators

Hermitian Operators-Theorem

Exponetial of Operators

Problem of Operator Ordering

The Uncertainty Principle 1

The Uncertainty Principle 2

The Uncertainty Principle 3

The Uncertainty Principle 4

The Uncertainty Principle: The Minimum Uncertainty Wave Packet - Coherent State Wave Function.

Measurement

Measurement of Eigenvalues

Measurement of non-Eigenvalues

Average Value of non-Eigenvalue Measurement

Transformation from Hilbert Space to Coordinate and Momentum Space A

Transformation from Hilbert Space to Coordinate and Momentum Space B

Transformation from Hilbert Space to Coordinate and Momentum Space C

Transformation from Hilbert Space to Coordinate and Momentum Space D

Transformation from Hilbert Space to Coordinate and Momentum Space E

Transformation from Hilbert Space to Coordinate and Momentum Space F

The Schrodinger Equation 1

The Schrodinger Equation 2

The Schrodinger Equation 3

The Schrodinger Equation 4

The Time Dependent Schrodinger Equation

The Heisenberg Equations of Motion

The Evolution Operator

The Evolution Operator Expansion

The Interaction Picture A

The Interaction Picture B

The Interaction Picture C

The Propagator

The Green's Function - Resolvent Operator

Connection between the Green's Function and the Evolution Operator

Feynmann's Path Integral

Feynmann's Path Integral Discritized

Path Integral form of Operator Expectation Values

The Free Particle 1

The Free Particle 2

The Free Particle-Box Normalization

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