151 research outputs found
On Generalized Super-Coherent States
A set of operators, the so-called k-fermion operators, that interpolate
between boson and fermion operators are introduced through the consideration of
an algebra arising from two non-commuting quon algebras. The deformation
parameters q and 1/q for these quon algebras are roots of unity with q to the
power k being equal to 1. The case k = 2 corresponds to fermions and the case k
going to infinity to bosons. Generalized coherent states (connected to the
k-fermionic states) and super-coherent states (involving a k-fermionic sector
and a purely bosonic sector) are investigated.Comment: 9 pages, Latex file. Submitted for publication to Yadernaya Fizika
(Russian Journal of Nuclear Physics
The k-fermions as objects interpolating between fermions and bosons
Operators, refered to as k-fermion operators, that interpolate between boson
and fermion operators are introduced through the consideration of two
noncommuting quon algebras. The deformation parameters for these quon algebras
are roots of unity connected to an integer k. The case k=2 corresponds to
fermions and the limiting case k going to infinity to bosons. Generalized
coherent states and supercoherent states are investigated. The Dirac quantum
phase operator and the Fairlie-Fletcher-Zachos algebra are also considered.Comment: 15 pages, Latex file. Work presented both to the Symposium
`Symmetries in Science X' (Bregenz, Austria, 13-18 July 1997) and to the
`VIII International Conference on Symmetry Methods in Physics' (Dubna,
Russia, 28 July - 2 August 1997
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
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