131 research outputs found
Superconducting Coherent States for an Extended Hubbard Model
An extended Hubbard model with phonons is considered. q-coherent states
relative to the superconducting quantum symmetry of the model are constructed
and their properties studied. It is shown that they can have energy expectation
lower than eigenstates constructed via conventional processes and that they
exhibit ODLRO.Comment: 7 pages, 3 figure
Coherent state quantization of paragrassmann algebras
By using a coherent state quantization of paragrassmann variables, operators
are constructed in finite Hilbert spaces. We thus obtain in a straightforward
way a matrix representation of the paragrassmann algebra. This algebra of
finite matrices realizes a deformed Weyl-Heisenberg algebra. The study of mean
values in coherent states of some of these operators lead to interesting
conclusions.Comment: We provide an erratum where we improve upon our previous definition
of odd paragrassmann algebra
Z3-graded Grassmann Variables, Parafermions and their Coherent States
A relation between the -graded Grassmann variables and parafermions is
established. Coherent states are constructed as a direct consequence of such a
relationship. We also give the analog of the Bargmann-Fock representation in
terms of these Grassmann variables.Comment: 8 page
Special Deformed Exponential Functions Leading to More Consistent Klauder's Coherent States
We give a general approach for the construction of deformed oscillators.
These ones could be seen as describing deformed bosons. Basing on new
definitions of certain quantum series, we demonstrate that they are nothing but
the ordinary exponential functions in the limit when the deformation parameters
goes to one. We also prove that these series converge to a complex function, in
a given convergence radius that we calculate. Klauder's Coherent States are
explicitly found through these functions that we design by deformed exponential
functionsComment: 10 page
- …