Titlebook: Contributions in Mathematical Physics; A Tribute to Gerard S. Twareque Ali,Kalyan B. Sinha Book 2007 Hindustan Book Agency (India) 2007

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Physical Applications of Algebras of Unbounded Operators,ginally motivated by physical arguments, contain almost no physics at all. On the contrary the mathematical aspects of these algebras have been analyzed in many details and this analysis produced, up to now, the monographes [32] and [2]. Some physics appeared first in [28] and [31], in the attempt t

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Infinite Divisibility in Euclidean Quantum Mechanics,e real potential .(.) is chosen so that the spectrum of . is nonnegative and the real, normalizable, nowhere vanishing ground state .(.) has zero energy eigenvalue; such systems are referred to as “simple systems” in this article. In this case, the ground state itself determines the Hamiltonian comp

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The C* Axioms and the Phase Space Fomalism of Quantum Mechanics,em in an algebraic setting using the language of Irving Segal [19], and then continuing to obtain the C*-algebraic formalism for a physical system. Of these axioms, only the fifth contained an assumption that was questionable in its physical content. Bearing in mind that for each observable . and st

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Stochastic Flow on the Quantum Heisenberg Manifold,ometry of such a manifold as a concrete example in non-commutative geometry [3]. In this article, a canonical non-commutative (quantum) stochastic flow is constructed on the quantum Heisenberg manifold which in a natural way is associated with the Dirac operator of the manifold.

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