Soliton and Similarity Solutions of Ν = 2, 4 Supersymmetric Equations

Autor: Laurent Delisle, Véronique Hussin

Publikováno v: Symmetry, Vol 4, Iss 3, Pp 441-451 (2012)

We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -functions in Hirota bilinear formalism. Chiral superfields are used to obtain

Externí odkaz: https://doaj.org/article/1a76e8139c8642d288bc91e7271d6dcc

Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential

Autor: Véronique Hussin, Ian Marquette

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 024 (2011)

We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories. In particular, we apply

Externí odkaz: https://doaj.org/article/2e094df852b940eba239dbb608893e1e

Generalized Susskind–Glogower coherent states

Autor: Kevin Zelaya, Véronique Hussin, Jean-Pierre Gazeau, James Moran

Publikováno v: Journal of Mathematical Physics
Journal of Mathematical Physics, American Institute of Physics (AIP), 2021, 62 (7), pp.072104. ⟨10.1063/5.0043743⟩

Susskind-Glogower coherent states, whose Fock expansion coefficients include Bessel functions, have recently attracted considerable attention for their optical properties. Nevertheless, identity resolution is still an open question, which is an essen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c24054c0272a42aff4e27a6a170d1e21
https://hal.archives-ouvertes.fr/hal-03436277

Constructing squeezed states of light with associated Hermite polynomials

Autor: Véronique Hussin, Kevin Zelaya, Oscar Rosas-Ortiz

Publikováno v: The European Physical Journal Plus. 136

A new class of states of light is introduced that is complementary to the well-known squeezed states. The construction is based on the general solution of the three-term recurrence relation that arises from the saturation of the Schr\"odinger inequal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3cb81d00e3d8b4c43025db2c9c54ef6e
https://doi.org/10.1140/epjp/s13360-021-01536-3

Two-mode squeezed state quantisation and semiclassical portraits

Autor: Jean-Pierre Gazeau, Véronique Hussin, James Moran, Kevin Zelaya

Publikováno v: Annals Phys.
Annals Phys., 2022, 441, pp.168888. ⟨10.1016/j.aop.2022.168888⟩

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work we define

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48ad2985d74e2776581b0f7e901ec967
https://doi.org/10.1016/j.aop.2022.168888