منابع مشابه
Coherent states on spheres
We describe a family of coherent states and an associated resolution of the identity for a quantum particle whose classical configuration space is the d-dimensional sphere S. The coherent states are labeled by points in the associated phase space T*(S). These coherent states are not of Perelomov type but rather are constructed as the eigenvectors of suitably defined annihilation operators. We d...
متن کاملGazeau- Klouder Coherent states on a sphere
In this paper, we construct the Gazeau-Klauder coherent states of a two- dimensional harmonic oscillator on a sphere based on two equivalent approaches. First, we consider the oscillator on the sphere as a deformed (non-degenerate) one-dimensional oscillator. Second, the oscillator on the sphere is considered as the usual (degenerate) two--dimensional oscillator. Then, by investigating the quan...
متن کاملThe Large Radius Limit for Coherent States on Spheres
This paper concerns the coherent states on spheres studied by the authors in [J. Math. Phys. 43 (2002), 1211-1236]. We show that in the odd-dimensional case the coherent states on the sphere approach the classical Gaussian coherent states on Euclidean space as the radius of the sphere tends to infinity.
متن کاملAn Entanglement Study of Superposition of Qutrit Spin-Coherent States
Considering generalized concurrence as the criterion of entanglement, we study entanglement properties of superposition of two qutrit coherent states, as a function of their amplitudes. These states may attain maximum entanglement or no entanglement at all, depending on the choice of the parameters involved. The states revealing maximum entanglement also display the maximum violations of the Be...
متن کاملOn 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 = exp(2πi/k) and k ∈ N\{0, 1}. The case k = 2 corresponds to fermions and the limiting case k → ∞ to ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2002
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1446664