Unformatted text preview: , when suddenly the spring constant quadruples, so ' = 2 , without initially changing the wave function (of course, will now evolve differently, because the Hamiltonian has changed). (a) What is the probability that a measurement of the energy would still return the value ℏ / 2 ? (b) What is the probability of getting ℏ ? 3. ( 10 pts ) Use the separation of variables in cartesian coordinates to solve the infinite cubical well (or “particle in a box”): V x, y,z = { if x, y,zare all between anda ∞ otherwise (a) Find the stationary states, and the corresponding energies. (b) Call the distinct energies E 1, E 2, E 3,. .. , in order of increasing total energy. Find E 1, E 2, E 3, E 4, E 5 and determine their degeneracies (that is, the number of different states that share the same energy). 1...
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 Fall '08
 Vachon
 mechanics, wave function, 446A Midterm Exam

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