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Problem 1.8 | Griffiths' Introduction to Quantum Mechanics | 3rd Edition
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Problem 1.8
Suppose you add a constant V_0 to the potential energy (by “constant” I mean independent of x as well as t). In classical mechanics this doesn’t change anything, but what about quantum mechanics? Show that the wave function picks up a time-dependent phase factor: exp(−iV_0t/ħ). What effect does this have on the expectation value of a dynamical variable?
In this video, we solve Problem 1.8 in Griffiths' Introduction to Quantum Mechanics (3rd Edition) as part of a series of solutions to the textbook's questions.
Integrating Factor Method:
[Credit: Andrew Binder]
Suppose you add a constant V_0 to the potential energy (by “constant” I mean independent of x as well as t). In classical mechanics this doesn’t change anything, but what about quantum mechanics? Show that the wave function picks up a time-dependent phase factor: exp(−iV_0t/ħ). What effect does this have on the expectation value of a dynamical variable?
In this video, we solve Problem 1.8 in Griffiths' Introduction to Quantum Mechanics (3rd Edition) as part of a series of solutions to the textbook's questions.
Integrating Factor Method:
[Credit: Andrew Binder]
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