432 research outputs found
Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states
Finite dimensional representations of extended Weyl-Heisenberg algebra are
studied both from mathematical and applied viewpoints. They are used to define
unitary phase operator and the corresponding eigenstates (phase states). It is
also shown that the unitary depolarizers can be constructed in a general
setting in terms of phase operators. Generation of generalized Bell states
using the phase operator is presented and their expressions in terms of the
elements of mutually unbiased bases are given
Generalized intelligent states of the su(N) algebra
Schr\" odinger-Robertson uncertainty relation is minimized for the quadrature
components of Weyl generators of the algebra . This is done by
determining explicit Fock-Bargamann representation of the coherent
states and the differential realizations of the elements of .
New classes of coherent and squeezed states are explicitly derived
Generalized coherent and intelligent states for exact solvable quantum systems
The so-called Gazeau-Klauder and Perelomov coherent states are introduced for
an arbitrary quantum system. We give also the general framework to construct
the generalized intelligent states which minimize the Robertson-Schr\"odinger
uncertainty relation. As illustration, the P\"oschl-Teller potentials of
trigonometric type will be chosen. We show the advantage of the analytical
representations of Gazeau-Klauder and Perelomov coherent states in obtaining
the generalized intelligent states in analytical way
New algebraic structures in the -extended Hamiltonian system
A realization of various algebraic structures in terms of the
-extended oscillator algebras is introduced. In particular, the
-extended oscillator algebras realization of
Fairlie-Fletcher-Zachos (FFZ)algebra is given. This latter lead easily to the
realization of the quantum algebra. The new deformed Virasoro
algebra is also presented.Comment: 10 page
Harmonic functions operating in Hermitian Banach
The purpose of this paper is to introduce a harmonic functional calculus in order to generalize some extended versions of theorems of von Neumann, Heinz and Ky Fan
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