(a) Assıning that nonrelativistic quantum mechanics is invariant un- der time reversal, derive the time reversed form of the Schrödinger wave functiou. (h) What is the quantumi mechanical Hamiltonian for a free electron with maguetic inoment u in the external constant magnetic ficld H; in the z-clirection, in the reference frame of the clectron? (c:) Suppose that an extra constant inaguetic ficled Hy is imposed in the y-clirection. Determine the forn of the quantum mechanical operator for the time rate of change of u iu this case.
(a) Assıning that nonrelativistic quantum mechanics is invariant un- der time reversal, derive the time reversed form of the Schrödinger wave functiou. (h) What is the quantumi mechanical Hamiltonian for a free electron with maguetic inoment u in the external constant magnetic ficld H; in the z-clirection, in the reference frame of the clectron? (c:) Suppose that an extra constant inaguetic ficled Hy is imposed in the y-clirection. Determine the forn of the quantum mechanical operator for the time rate of change of u iu this case.
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Transcribed Image Text:(a) Assıning that nonrelativistic quantum mechanics is invariant un-
der time reversal, derive the time reversed form of the Schrödinger wave
functiou.
(h) What is the quantumi nechanical Hamiltonian for a free electron
with magnetic inoment µ in the external constant magnetic ficld H, in the
z-clircction, in the reference frame of the clectron?
(c:) Suppose that an extra constant inaguetic ficled Hy is imposed in the
y-clirection. Determine the forn of the quantum mechanical operator for
the time rate of change of u iu this case.
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