Results 241 to 250 of about 5,233,673 (285)

Fock Space and the Poisson Process

Proceedings of the London Mathematical Society, 2004
The authors show that for any regular self-adjoint quantum semimartingale \((J_t)_{0\leq t\leq1}\) the essentially self-adjoint quantum semimartingale \((\hat M_t+J_t)_{0\leq t\leq1}\) satisfies the quantum Itô formula. Here \(\hat M_t\) is the operator corresponding to multiplication by the integral of a real, bounded, predictable process with respect
Pathmanathan, S., Vincent-Smith, G. F.
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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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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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Quantum Mechanics in Fock Space

Physical Review, 1951
In the present paper we propose to develop a quantum-mechanical scheme in Fock space that would describe interactions that take place through the formation of a compound particle. The discussion will be restricted to a dynamical system representing a single-level scattering process. The state of this dynamical system can be found in two stages: initial
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Quantum chemistry in Fock space. II. Effective Hamiltonians in Fock space

The Journal of Chemical Physics, 1983
The concept of an effective Hamiltonian in Fock space is introduced. It is based on the division of the entire one-particle space into subspaces of ‘‘active’’ and ‘‘inactive’’ orbitals. The effective Fock space Hamiltonian has—for active model states—the same eigenvalues as the full Hamiltonian.
Werner Kutzelnigg, Sigurd Koch
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Computational Logic on Fock Space

International Journal of Theoretical Physics, 2004
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On Fock Spaces with Linear Constraints

Mathematical Notes, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Stochastic Calculus in Fock Space

1993
In this chapter, we reach the main topic of these notes, non-commutative stochastic calculus for adapted families of operators on Fock space, with respect to the basic operator martingales. This calculus is a direct generalization of the classical Ito integration of adapted stochastic processes w.r.t. Brownian motion, or other martingales. Its physical
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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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