Free Coherent States and Distributions on p-Adic Numbers
نویسندگان
چکیده
منابع مشابه
The space of free coherent states is isomorphic to the space of distributions on p - adic numbers
Free coherent states for a system with p degrees of freedom are defined. An isomorphism of the space of free coherent states to the space of distributions on p-adic disk is constructed.
متن کاملHilbert space of the free coherent states and p – adic numbers
Rigged Hilbert space of the free coherent states is investigated. We prove that this rigged Hilbert space is isomorphous to the space of generalized functions over p–adic disk. We discuss the relation of the described isomorphism of rigged Hilbert spaces and noncommutative geometry and show, that the considered example realises the isomorphism of the noncommutative line and p–adic disk. In the ...
متن کاملar X iv : q - a lg / 9 70 30 15 v 1 3 M ar 1 99 7 Free coherent states and distributions on p - adic numbers
Free coherent states for a system with two degrees of freedom is defined. An isomorphism of the space of distributions on 2-adic disc and the space of free coherent states is constructed. 1 Construction of free (or Boltzmannian) coherent states Free (or Boltzmannian) Fock space has been considered in some recent works on quantum chromodynamics [1], [2], [3] and noncommutative probability [4], [...
متن کاملar X iv : q - a lg / 9 70 30 15 v 2 5 M ar 1 99 7 Free coherent states and distributions on p - adic numbers
Free coherent states for a system with two degrees of freedom is defined. A linear map of the space of free coherent states to the space of distributions on 2-adic disc is constructed. 1 Construction of free (or Boltzmannian) coherent states Free (or Boltzmannian) Fock space has been considered in some recent works on quantum chromodynamics [1], [2], [3] and noncommutative probability [4], [5]....
متن کاملNotes on p-adic numbers
as one can check using induction on l. The usual absolute value function |x| satisfies these conditions with the ordinary triangle inequality (4). If N(x) = 0 when x = 0 and N(x) = 1 when x 6= 0, then N(x) satisfies these conditions with the ultrametric version of the triangle inequality. For each prime number p, the p-adic absolute value of a rational number x is denoted |x|p and defined by |x...
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ژورنال
عنوان ژورنال: Infinite Dimensional Analysis, Quantum Probability and Related Topics
سال: 1998
ISSN: 0219-0257,1793-6306
DOI: 10.1142/s0219025798000181