Fock Space
On stopping Fock space processes
... the Fock-space context, a quantum stopping time S is a projection-valued measure on the extended half line [0, ∞ ], such that S [0, ∞ ] = I, the identity operator on F , and t 7→ S [0, t] is an ...
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Universal Verma Modules and the Misra Miwa Fock Space
... representation corresponds to a grading shift. Recent work of Brundan-Kleshchev 17 and Ariki 18 explains that one solution to this problem is through the representation theory of Khovanov-Lauda-Rouquier algebras 19, 20. ...
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How to construct a consistent and physically relevant the Fock space of neutrino flavor states?
... It seems that due to this theorem the result of extending the symmetry group of the theory will be trivial: the masses of the components of the multiplets will be equal. Just this circumstance is the most important ...
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Many-body localization in the Fock space of natural orbitals
... the Fock space of Slater determinants constructed out of the natural orbitals, for which the basis states are created by applying subsets of { d 1 † , d 2 † , ...the Fock space constructed out ...
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Kleshchev's decomposition numbers and branching coefficients in the Fock space
... d, d −1 subject to some relations (see, for example, [8, §4]). An important U q ( sl b e )-module is the Fock space representation F [3, 14], which has a basis {s(λ) | λ ∈ P} as a C(q)-vector space. ...
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Row and column removal in the q-deformed Fock space
... If we put q = 1 in Theorem 1 and use Ariki’s and Varagnolo-Vasserot’s theorems, we recover a result of James [5, Theorem 6.18 and Corollary 6.20] on the decomposition numbers of Hecke al[r] ...
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Semi-device-independent framework based on natural physical assumptions
... Hilbert space characterizing the quantum ...infinite-dimensional Fock space and model our assumption as an upper bound on the average photon num- ber in the emitted ...
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Primitive ontology and quantum field theory
... non-Fock space representations, clearly poses a challenge for Bohmian QFT in terms of particles since this latter is committed to a Fock space ...
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Quantum stochastic calculus with maximal operator domains
... of Fock space when it is bounded and need no longer be an algebraic tensor product when it is ...for Fock space operators which enjoys all the algebraic properties one could hope for, given ...
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Strong convergence of quantum random walks via semigroup decomposition
... toy Fock space (introduced in Section ...symmetric Fock space with test functions from an L 2 -space of Hilbert space-valued functions on the ...
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Canonical bases for Fock spaces and tensor products
... The complete determination of the decomposition numbers of the sym- metric groups and Schur algebras in positive characteristic p is a well-known and longstanding open problem, for which a complete solution does not seem ...
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Double Electron Affinity for Potential Energy Curves of Closed Shell Molecules
... the Fock space (FS) (essential in the double electron affinity (DEA) cal- culation) is applied to the alkali metal diatomics to generate smooth potential energy curves which cor- rectly describe the ...
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Toeplitz and Translation Operators on the q Fock Spaces
... D z and the multiplication operator by , and proves that these operators are densely defined, closed and adjoint-operators on (see [1]). Next, the Hilbert space is called Segal-Bargmann space or Fock ...
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Skorohod Integral at Vacuum State on Guichardet Fock Spaces
... In this paper, we define expectation of f ∈ F , i.e. E f ( ) = f ( ) ∅ , according to Wiener-Ito-Segal isomorphic relation between Guichardet-Fock space F and Wienerspace W. Meanwhile, we derive a formula ...
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1. Fock spaces for the $q$-Bessel-Struve kernel
... Fock spaces associated to the q-Bessel-Struve kernel and we give some applications. The contents of the paper are as follows. In section 2, building on the ideas of Bargmann [2], Cholewinski [4] and as the same of ...
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A physically-motivated quantisation of the electromagnetic field on curved spacetimes
... a Fock space of particle states, promoting the coefficients of the positive frequency modes to annihilation operators and those of negative frequency modes to creation operators ...
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A Lévy-Ciesielski expansion for quantum Brownian motion and the construction of quantum Brownian bridges
... idea of constructing Brownian motion in this way was originally due to Paul L´evy and later, Z.Cielsielski (see also the comments on pp.18-19 of [18]). The main technical result of this paper is to obtain a quantum ...
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Sun
... the Heisenberg double h = h(QSym, NSym) is the quasi-Heisenberg algebra. The natural action on QSym is the Fock space representation. Both the Heisenberg algebra and the quasi-Heisenberg algebra can be ...
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A Fermionic Ito Product Formula
... antisymmetric Fock space where we do not have exponential commutative vectors and where the commutative property does not occur between operators describing disjoint time ...
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LieRauischholzhausenTalk.pdf
... The cohomology of the Hilbert schemes (Douady spaces) of points on a smooth quasi-projective surface carry the structure of the Fock space representation of a Heisenberg algebra.. In thi[r] ...
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