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MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Physics 8.04 Fri Apr 19 09:33:56 EDT 1996
8.04 Quiz II, Spring 1996
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:
Those sections marked with an asterisk (*) require some additional
time and/or thought. You may wish to skip those, using the results
given, and return to them after you complete the rest of the exam.
Prof. Tomas Alberto Arias
Fri Apr 19 09:33:33 EDT 1996