Time-Dependent Superposition of Harmonic Oscillator Eigenstates
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Consider a time-dependent superposition of quantum harmonic oscillator eigenstates, , where the eigenfunctions and eigenvalues are given by
and
, respectively. Here
is the
Hermite polynomial. The Hamiltonian for this system is
and its energy expectation value is given by
.
Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA
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