Exact and Semiclassical Density Matrix of a Particle Moving in a Barrier Potential with Bound States

Abstract

We present a barrier potential with bound states that is exactly solvable and determine the eigenfunctions and eigenvalues of the Hamiltonian. The equilibrium density matrix of a particle moving at temperature T in this nonlinear barrier potential field is determined. The exact density matrix is compared with the result of the path integral approach in the… (More)

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