Quantum Decomposition Associated with the q-Deformed Lévy–Meixner White Noise
Keyword(s):
In this paper we start with a new detailed construction of the one-mode type q-Lévy-Meixner Fock space [Formula: see text] which serves to obtain the quantum decomposition associated with the q-deformed Lévy-Meixner white noise processes. More precisely, based on the notion of quantum decomposition and the orthogonalization of polynomials of noncommutative q-Lévy-Meixner white noise [Formula: see text], we study the chaos property of the noncommutative L2-space with respect to the vacuum expectation τ. Next, we determine the distribution of the q-Lévy-Meixner operator J(χD) = ⟨ω, χD⟩ and as a consequence we give some useful properties of the q-Lévy-Meixner white noise process.
2015 ◽
Vol 38
(1)
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pp. 239-265
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2019 ◽
Vol 48
(1)
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pp. 19-30
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2019 ◽
Vol 13
(7)
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pp. 3151-3167
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1991 ◽
Vol 23
(04)
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pp. 798-808
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1993 ◽
Vol 16
(4)
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pp. 405-421
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