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Canonical coherent states can be written as infinite series in powers of a single complex number z and a positive integer ρ(m). The requirement that these states realize a resolution of the identity typically results in a moment problem, where the moments form the positive sequence of real numbers {ρ(m)}∞ m=0 . In this paper we obtain new classes of vector… (More)

Classes of coherent states are presented by replacing the labeling parameter z of Klauder-Perelomov type coherent states by confluent hypergeometric functions with specific parameters. Temporally stable coherent states for the isotonic oscillator Hamiltonian are presented and these states are identified as a particular case of the so-called Mittag-Leffler… (More)

Eigenfunctions and eigenvalues of the free magnetic Schrödinger operator, describing a spinless particle confined to an infinite layer of fixed width, are discussed in detail. The eigenfunctions are realized as an orthonormal basis of a suitable Hilbert space. Four different classes of temporally stable coherent states associated to the operator are… (More)

- K. Thirulogasanthar, G . HONNOUVO
- 2003

Due to the wide range of applications of CS in quantum theories, it is an active area of research to find new classes of CS in different domains. In the literature, a huge volume of articles devoted to this task, mainly by changing ρ(m) in (1.1), for example, [9],[13]. The other possibility is to change the variable z and there by change the domain of… (More)

We present a class of vector coherent states in the domain D × D× ....×D (n-copies), where D is the complex unit disc, using a specific class of hermitian matrices. Further, as an example, we build vector coherent states in the unit disc by considering the unit disc as the homogeneous space of the group SU(1, 1).

- Nasser Saad, K. Thirulogasanthar
- J. Computational Applied Mathematics
- 2016

The well-known canonical coherent states are expressed as an infinite series in powers of a complex number z and a positive sequence of real numbers ρ(m) = m!. In this article, in analogy with the canonical coherent states, we present a class of vector coherent states by replacing the complex variable z by a real Clifford matrix. We also present another… (More)

- K. Thirulogasanthar, G . HONNOUVO
- 2003

We present a class of vector coherent states labeled by multiple of matrices as a vector on a Hilbert space, where the Hilbert space is taken to be the tensor product of several other Hilbert spaces. As examples vector coherent states labeled by multiple of quaternions and octonions were given. The resulting generalized oscillator algebra is discussed.

A class of vector coherent states is derived with multiple of matrices as vectors in a Hilbert space, where the Hilbert space is taken to be the tensor product of several other Hilbert spaces. As examples vector coherent states with multiple of quaternions and octonions are given. The resulting generalized oscillator algebra is briefly discussed. Further,… (More)

The canonical coherent states are expressed as infinite series in powers of a complex number z in their infinite series version. In this article we present classes of coherent states by replacing this complex number z by other choices, namely, iterates of a complex function, higher functions and elementary functions. Further, we show that some of these… (More)