Results 211 to 220 of about 5,285,566 (268)

Exponential Hilbert Space: Fock Space Revisited

Journal of Mathematical Physics, 1970
An exponential Hilbert space, which is an abstraction of the familiar Fock space for bosons, provides a natural framework to discuss a wide class of field-operator representations. This framework is especially convenient when wide invariance groups, such as a unique translationally invariant state, are involved.
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Fock Space (1)

1993
The preceding chapters dealt with the non-commutative analogues of discrete r.v.’s, then of real valued r.v.’s, and we now begin to discuss stochastic processes. We start with the description of Fock space (symmetric and antisymmetric) as it is usually given in physics books.
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Fock Space Mappings

1994
The main fields of application of Fock space mappings have been in solid state and nuclear physics. With respect to these applications there exists a comprehensive literature which we cannot discuss all in detail. Rather as in the previous chapter we restrict ourselves to the discussion of a representative example.
Harald Stumpf, Thomas Borne
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Fredholmness of Toeplitz Operators on the Fock Space

, 2017
The Fredholm property of Toeplitz operators on the p-Fock spaces $$F_\alpha ^p$$Fαp on $$\mathbb {C}^n$$Cn is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz algebra $$\mathcal {T}_{p,\alpha }$$Tp,α on $$F_\alpha ^p$$Fαp ...
R. Fulsche, Raffael Hagger
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Nonstandard Fock spaces

International Journal of Theoretical Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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HANKEL MEASURES FOR FOCK SPACE

Bulletin of the Australian Mathematical Society, 2022
AbstractInspired by Xiao’s work on Hankel measures for Hardy and Bergman spaces [‘Pseudo-Carleson measures for weighted Bergman spaces’. Michigan Math. J.47 (2000), 447–452], we introduce Hankel measures for Fock space $F^p_\alpha $ . Given $p\ge 1$ , we obtain several equivalent descriptions for such measures on $F^p_\alpha $ .
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The Fock space of loopy spin networks for quantum gravity

, 2016
In the context of the coarse-graining of loop quantum gravity, we introduce loopy and tagged spin networks, which generalize the standard spin network states to account explicitly for non-trivial curvature and torsion.
Christoph Charles, E. Livine
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Fermion Fock space

1996
Abstract In this chapter we shall generalize the constructions in Chapter 1 to the infinite dimensional case.
Yu. A Neretin, G G Gould
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TOEPLITZ OPERATORS BETWEEN FOCK SPACES

Bulletin of the Australian Mathematical Society, 2015
Given a positive Borel measure ${\it\mu}$ on the $n$-dimensional Euclidean space $\mathbb{C}^{n}$, we characterise the boundedness (and compactness) of Toeplitz operators $T_{{\it\mu}}$ between Fock spaces $F^{\infty }({\it\varphi})$ and $F^{p}({\it\varphi})$ with $0<p\leq \infty$ in terms of $t$-Berezin transforms and averaging functions of ${\it ...
Lu, Jin, Lv, Xiaofen
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ROTATION INVARIANT INTERACTING FOCK SPACES

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007
In this paper we give a necessary and sufficient condition on the interacting Fock (IFF) space by which the vacuum distribution of the position operator is rotation invariant.
CRISMALE V, LU, Yungang
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