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A conjugate for the Bargmann representation
A. D. Ribeiro, F. Parisio, M. A. M. de Aguiar
In the Bargmann representation of quantum mechanics, physical states are mapped into entire functions of a complex variable z*, whereas the creation and annihilation operators $\ha…
A semiclassical trace formula for the canonical partition function of one dimensional systems
Fernando Parisio, M. A. M. de Aguiar
We present a semiclassical trace formula for the canonical partition function of arbitrary one-dimensional systems. The approximation is obtained via the stationary exponent method…
A Uniform Approximation for the Coherent State Propagator using a Conjugate Application of the Bargmann Representation
A. D. Ribeiro, M. Novaes, M. A. M. de Aguiar
We propose a conjugate application of the Bargmann representation of quantum mechanics. Applying the Maslov method to the semiclassical connection formula between the two represent…