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5 papers · 2 filters
Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach
José F. Cariñena, Manuel F. Rañada, Mariano Santander
The quantization of systems with a position dependent mass (PDM) is studied. We present a method that starts with the study of the existence of Killing vector fields for the PDM ge…
The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories
S. Kuru, J. Negro, O. Ragnisco
In this paper, we investigate the main algebraic properties of the maximally superintegrable system known as "Perlick system type I". All possible values of the relevant parameters…
Superintegrability of the Fock-Darwin system
E. Drigho-Filho, S. Kuru, J. Negro +1
The Fock-Darwin system is analysed from the point of view of its symmetry properties in the quantum and classical frameworks. The quantum Fock-Darwin system is known to have two se…
Operator algebra in the space of images
E. Celeghini
A consistent description of images on the disk and of their transformations is given as elements of a vector space and of an operators algebra. The vector space of images on the di…
A Functional Identity involving Elliptic Integrals
M. L. Glasser, Yajun Zhou
We show that the following double integral \[\int_{0}^π{\rm d}x \int_0^x {\rm d}y \frac{1}{\sqrt{1-\smash[b]{p}\cos x}\sqrt{1+\smash[b]{q\cos y}}}\]remains invariant as one trades…