Quantum Mechanics Solution Manual |
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© Leon van Dommelen |
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2.4.3 Solution mathops-c
Question:
A less self-evident operator than the above examples is a translation operator like that translates the graph of a function towards the left by an amount 2: . (Curiously enough, translation operators turn out to be responsible for the law of conservation of momentum.) Show that turns into .
Answer:
Using various standard trig manipulations, [1, pp. 43-44]:
Or just compare the graphs visually, [1, p. 43].