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5 papers · 1 filter
Algebraic aspects of quantum indiscernibility
Decio Krause, Hercules de Araujo Feitosa
Quasi-set theory was proposed as a mathematical context to investigate collections of indistinguishable objects. After presenting an outline of this theory, we define an algebra th…
Alternative fidelity measure for quantum states
Paulo E. M. F. Mendonca, Reginaldo d. J. Napolitano, Marcelo A. Marchiolli +2
We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uh…
Renormalization of Singular Potentials and Power Counting
B. Long, U. van Kolck
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r^2 potential perturbed by a 1/r^4 correction. The powe…
Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
Alvaro de Souza Dutra, M. B. Hott
In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of vector and scalar generalized Hartmann potentials. This is done provided th…
Extended Cahill-Glauber formalism for finite dimensional spaces: I. Fundamentals
M. Ruzzi, M. A. Marchiolli, D. Galetti
The Cahill-Glauber approach for quantum mechanics on phase-space is extended to the finite dimensional case through the use of discrete coherent states. All properties and features…