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MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Physics 8.04 Thu Oct 12 19:27:44 EDT 1995
Quiz II
Instructions
- Closed book; no notes.
- Please start solutions on the same page on which the problem is given.
- Use subsequent blank pages if necessary
NAME:
Recitation Instructor:
8.04 Formula Sheet: Quiz II
Physical Constants
Quantum---Classical Correspondences
Thermal Radiation Formulas
Heisenberg Uncertainty Principle
Delta Function and Fourier Transforms
Hermitian Inner Product and Cauchy Schwartz Inequality
Quantum Averages and Operators
General uncertainty principle, for any two observables A and B and
associated operators 
and 
:
Time Dependent Schrödinger Equation and General Features of Its Solutions
TDSE:
Conservation of Probability:
where
and
Ehrenfest's Theorem:
General Ehrenfest's theorem for any observable 
and associated
operator 
:
Time Independent Schrödinger Equation and General
Features of Its Solutions
TISE:
Orthogonality among states:
Boundary conditions:
Quiz Problems:
Prof. Tomas Alberto Arias
Thu Oct 12 19:27:26 EDT 1995