The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is given by H = aSy, where a is a constant. a) Use the energies and eigenstates for this case to determine the time evolution [psi](t) of the state with initial condition [psi](0) = (1/root[2])*mat([1],[1]).
The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is given by H = aSy, where a is a constant. a) Use the energies and eigenstates for this case to determine the time evolution [psi](t) of the state with initial condition [psi](0) = (1/root[2])*mat([1],[1]).
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter7: Quantum Mechanics
Section: Chapter Questions
Problem 7.5CYU: Check Your Understanding A particle With mass m is moving along the x-axis in a given by the...
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The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is given by H = aSy, where a is a constant.
a) Use the energies and eigenstates for this case to determine the time evolution [psi](t) of the state with initial condition [psi](0) = (1/root[2])*mat([1],[1]).
b) For your solution from part (a), calculate the expectation values <Sx>, <Sy>, <Sz> as a function of time.
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