In place of the usual commutation relation [â,â†]=1 we consider the generalized commutation relation characteristic of the para-Bose oscillators, viz, [â, H^]=H^ where H^ is the Hamiltonian (½)(ââ†+â†â). The number states and the representation of various operators in the basis formed by these states are obtained. We then introduce the para-Bose coherent states defined as the eigenstates of â for this generalized case. We consider some of the properties of these coherent states and also show that the uncertainty product < (Δq)2> < (Δp)2> in this case could be made arbitrarily small
We show that the difference between the Schrödinger uncertainty relations (UR) and the Heisenberg UR...
The main characteristics of the quantum oscillator coherent states including the two-particle Caloge...
Two-mode para-Bose number states are discussed. The two-mode system has been chosen as it is a repre...
The energy, position, and momentum eigenstates of a para-Bose oscillator system were considered in p...
It is well known that Parafermi and Parabose statistics are natural extensions of the usual Fermi an...
Three generalized commutation relations for a single mode of the harmonic oscillator which contains ...
We extend recent results on expectation values of coherent oscillator states and SU(2) coherent stat...
The most general form of the Hamiltonian is obtained under the restriction that initially coherent s...
Para-Bose commutation relations are related to the SL(2,R) Lie algebra. The irreducible representati...
States which minimize the Schrödinger–Robertson uncertainty relation are constructed as eigenstates...
The general parasupersymmetric annihilation operator of arbitrary order does not reduce to the Kornb...
Different families of generalized coherent states (CS) for one-dimensional systems with general time...
The Hamiltonian for the oscillator has earlier been written in the form H=ℏω(2v+v+λ+·λ+3/2), where v...
In the present series of papers, the coherent states of Sp(2d,R), corresponding to the positive disc...
Two new types of coherent states associated with the Cλ-extended oscillator, where Cλ is the cyclic ...
We show that the difference between the Schrödinger uncertainty relations (UR) and the Heisenberg UR...
The main characteristics of the quantum oscillator coherent states including the two-particle Caloge...
Two-mode para-Bose number states are discussed. The two-mode system has been chosen as it is a repre...
The energy, position, and momentum eigenstates of a para-Bose oscillator system were considered in p...
It is well known that Parafermi and Parabose statistics are natural extensions of the usual Fermi an...
Three generalized commutation relations for a single mode of the harmonic oscillator which contains ...
We extend recent results on expectation values of coherent oscillator states and SU(2) coherent stat...
The most general form of the Hamiltonian is obtained under the restriction that initially coherent s...
Para-Bose commutation relations are related to the SL(2,R) Lie algebra. The irreducible representati...
States which minimize the Schrödinger–Robertson uncertainty relation are constructed as eigenstates...
The general parasupersymmetric annihilation operator of arbitrary order does not reduce to the Kornb...
Different families of generalized coherent states (CS) for one-dimensional systems with general time...
The Hamiltonian for the oscillator has earlier been written in the form H=ℏω(2v+v+λ+·λ+3/2), where v...
In the present series of papers, the coherent states of Sp(2d,R), corresponding to the positive disc...
Two new types of coherent states associated with the Cλ-extended oscillator, where Cλ is the cyclic ...
We show that the difference between the Schrödinger uncertainty relations (UR) and the Heisenberg UR...
The main characteristics of the quantum oscillator coherent states including the two-particle Caloge...
Two-mode para-Bose number states are discussed. The two-mode system has been chosen as it is a repre...