169 citations · 487 across the 12 of their papers we have counts for
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Improved semiclassical density matrix: taming caustics
C. A. A. de Carvalho, R. M. Cavalcanti, E. S. Fraga +1
We present a simple method to deal with caustics in the semiclassical approximation to the thermal density matrix of a particle moving on the line. For simplicity, only its diagona…
Semiclassical approximation to the partition function of a particle in D dimensions
C. A. A. de Carvalho, R. M. Cavalcanti, E. S. Fraga +1
We use a path integral formalism to derive the semiclassical series for the partition function of a particle in D dimensions. We analyze in particular the case of attractive centra…
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…