Quantum Mechanics and Operator algebras on the Hilbert ball
نویسنده
چکیده
We study Kähler functions on the Hilbert ball and and the algebra of Kähler functions. We introduce quantum mechanics and operator algebras on the Hilbert ball by using the theory of geometrical quantum mechanics.
منابع مشابه
X iv : f un ct - a n / 97 10 00 2 v 3 2 4 Ju l 2 00 7 Quantum mechanics and operator algebras on the Hilbert ball ( The revised )
Cirelli, Manià and Pizzocchero generalized quantum mechanics by Kähler geometry. Furthermore they proved that any unital C-algebra is represented as a function algebra on the set of pure states with a noncommutative ∗-product as an application. The ordinary quantum mechanics is regarded as a dynamical system of the projective Hilbert space P(H) of a Hilbert space H. The space P(H) is an infinit...
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