148 citations · 416 across the 30 of their papers we have counts for
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Semiclassical Series at Finite Temperature
C. A. A. de Carvalho, R. M. Cavalcanti, E. S. Fraga +1
We derive the semiclassical series for the partition function of a one-dimensional quantum-mechanical system consisting of a particle in a single-well potential. We do this by appl…
Wave function of a Brownian particle
R. M. Cavalcanti
Using the Caldirola-Kanai Hamiltonian, we study the time evolution of the wave function of a particle whose classical motion is governed by the Langevin equation. We show, in parti…
Tunneling catastrophes of the partition function
C. A. A. de Carvalho, R. M. Cavalcanti
We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression de…
Semiclassical Statistical Mechanics
C. A. A. de Carvalho, R. M. Cavalcanti
We use a semiclassical approximation to derive the partition function for an arbitrary potential in one-dimensional Quantum Statistical Mechanics, which we view as an example of fi…
Exact Green's functions for delta-function potentials and renormalization in quantum mechanics
R. M. Cavalcanti
We present a simple recipe to construct the Green's function associated with a Hamiltonian of the form H=H_0+V, where H_0 is a Hamiltonian for which the associated Green's function…