Vector coherent states from Plancherel's theorem, Clifford algebras and matrix domains
نویسندگان
چکیده
منابع مشابه
Vector Coherent States from Plancherel’s Theorem, Clifford Algebras and Matrix Domains
As a substantial generalization of the technique for constructing canonical and the related nonlinear and q-deformed coherent states, we present here a method for constructing vector coherent states in the same spirit. These vector coherent states may have a finite or an infinite number of components. As examples we first apply the technique to construct vector coherent states using the Planche...
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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 class of vector coherent states by simult...
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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, vector coherent states for a tensored H...
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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 coherent states by simultaneously repl...
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Abstract One shows that the Last Fermat Theorem is equivalent to the statement that all rational solutions x + y = 1 of equation (k ≥ 2) are provided by an orbit of rationally parametrized subgroup of a group preserving k–ubic form. This very group naturally arrises in the generalized Clifford algebras setting [1]. I. The stroboscopic motion of the independent oscilatory degree of freedom is gi...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/23/008