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A vanishing theorem for operators in Fock space
non-relativistic quantum electrodynamics Fock space operator theoretic renormalization symmetry
2011/9/19
Abstract: We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a cer...
Abstract: We give criteria for products of Toeplitz and Hankel operators on the Fock (Segal-Bargmann) space to belong to the Dixmier class, and compute their Dixmier trace. At the same time, analogous...
A Fock Space Model for Addition and Multiplication of C-free Random Variables
free independence c-free independence creation/annihilation operators
2011/2/22
The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.
Free Fock space and functional calculus approach to the n-point information about the "Universe"
Free Fock space functional calculus the n-point information
2010/11/16
Starting from a differential equation for the unique field, the equation for the generating vector |V> of the n-point information (correlation and smeared functions) in the free Fock space is derived...
Exactness of the Fock space representation of the q-commutation relations
Exactness Fock space representation q-commutation relations
2010/11/29
We show that for all q in the interval (−1, 1), the Fock repre-sentation of the q-commutation relations can be unitarily embedded into the Fock representation of the extended Cuntz algebra. In p...
Multipartite State Representations in Multi-mode Fock Space
and Their Squeezing Transformations
IWOP technique multipartite state representations squeezing operator
2007/8/15
2007Vol.47No.1pp.31-34DOI:
Multipartite State Representations in Multi-mode Fock Space
and Their Squeezing Transformations
YUAN Hong-Chun,1,2 LI Heng-Mei,3 and QI Kai-Guo2
...
Realization of Quantum Circuits in Fock Space
quantum computer quantum logic gate quantum circuit
2007/8/15
2004Vol.41No.5pp.787-789DOI:
Realization of Quantum Circuits in Fock Space
MA Lei1,2 and LI
Yun1
1 Department of Physics, East China Normal University, Shanghai 200062,...