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…
Perturbative Evidence of Non-Universality in the Quantized Hall Conductivity of a Disordered Relativistic 2D Electron Gas
N. Bralic, C. A. A. de Carvalho, R. M. Cavalcanti +1
We study a relativistic two-dimensional electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute, in first order perturbat…
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…