The Hamiltonian operator in the Schrodinger equation can be formed from the classical Hamiltonian by substituting
A. Wavelength and frequency for momentum and energy
B. A differential operator for momentum
C. Transition probability for potential energy
D. Sums over discrete eigenvalues for integrals over continuous variables
E. Gaussian distributions of observables for exact values
(GR8677 #49)
Solution:
Schrodinger Equation: Hψ(x) = Eψ(x)
Hamiltonian:
Momentum operator :
Answer: B
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