- #1
zheng89120
- 149
- 0
Homework Statement
The operator Q obeys the commutation relation [Q, H] = EoQ, where Eo is a constant with units of energy. Show that if ψ(x) is a solution of the time-independent Schrodinger equation with energy E, then Qψ(x) is also a solution of the time-independent Schrodinger equation, and determine the energy corresponding to Qψ(x).
Homework Equations
Commutator calculation and properties
? Time-independent Schrodinger equation and solution
The Attempt at a Solution
QH-HQ = EoQ
Q = (QH-HQ)/Eo
Qψ = QC1eiA1/2x+QC2e-iA1/2x