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RESEARCH PRODUCT

Computing the Trace

Walter DittrichMartin Reuter

subject

symbols.namesakeTheoretical physicsComputer sciencesymbolsPropagatorStationary phase approximationGeneral expressionHamiltonian (quantum mechanics)Eigenvalues and eigenvectors

description

So far we have been interested in the general expression for the WKB-propagation function. Now we turn our attention to the trace of that propagator, since we want to exhibit the energy eigenvalues of a given potential. From earlier discussions we know that the energy levels of a given Hamiltonian are provided by the poles of the Green’s function:

yearjournalcountryeditionlanguage
2001-01-01
https://doi.org/10.1007/978-3-030-36786-2_25