Results 221 to 230 of about 107,982 (263)

Explicit Construction of the Second-Quantized Anyon Operators

Journal of the Physical Society of Japan, 1995
Summary: Creation and annihilation operators of anyons are constructed explicitly by using vertex operators for the Calogero-Sutherland-Moser model.
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Second quantization of an arbitrary operator

Proceedings of the Physical Society, 1966
The representation of an arbitrary operator in second quantization is obtained for both fermion and boson systems by using the isomorphism between second quantization and a graded configuration space.
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Remarks on the operator of second quantization

Reports on Mathematical Physics, 1977
Abstract In this paper there is given a complete classification of the domains of the operator of second quantization corresponding to an arbitrary self-adjoint operator in a separable Hilbert space. This gives a complete description of the structure of these domains.
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Generalization of the second quantization operators: Electron attachment and detachment operators

International Journal of Quantum Chemistry, 1979
AbstractThis paper proposes a method for the generalization of the second quantization operators. The method is based on two main hypotheses: (i) the same form of the correlation operator, which is good for closed‐shell systems is chosen and (ii) a system of equations is given to calculate the differences (xk0−xk1), which characterize both attachment ...
M. Saute, A. Laforgue
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On a class of operators of the second quantization

Ukrainian Mathematical Journal, 1995
Let \(H\) be a real separable Hilbert space and let \(\Phi'\supset H \supset \Phi\) be the rigging of \(H\) by a nuclear Frechet space \(\Phi\) and its dual \(\Phi'\). Operators of quantum stochastic calculus in the functional realization \(L_2(\Phi',\mu)\) of the Fock space \({\mathcal F}(H)\), especially the differential second quantization \(d\Gamma(
Kaminskii, A. B., Us, G. F.
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Algebraic identities relating first- and second-quantized operators

American Journal of Physics, 2000
Second-quantized operators are derived algebraically from first-quantized counterparts, thus providing an alternative to all existing methods, most of which rely upon demonstrating the equivalence of matrix elements of the two operators. This derivation establishes an operator identity between a second-quantized operator and a first-quantized operator ...
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Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis

Acta Applicandae Mathematica, 2000
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Chung, Dong Myung, Ji, Un Cig
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Second Quantized Representation of Quantum-Mechanical Operators

1989
We are already familiar with the second quantized form of wave functions. In this section the second quantized form of various quantum-mechanical operators is going to be established. Then we shall be in a position to undertake any quantum-mechanical analysis in this representation.
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Second order explicitly correlated R12 theory revisited: A second quantization framework for treatment of the operators’ partitionings

The Journal of Chemical Physics, 2007
Second order R12 theory is presented and derived alternatively using the second quantized hole-particle formalism. We have shown that in order to ensure the strong orthogonality between the R12 and the conventional part of the wave function, the explicit use of projection operators can be easily avoided by an appropriate partitioning of the involved ...
Jozef, Noga, Stanislav, Kedzuch, Ján, Simunek   +2 more
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Second Quantization of the General Many Fermion Operator

Proceedings of the Physical Society, 1963
The second-quantized equivalent of the general particle-conserving operator in the configuration space of Slater determinants is found by a direct calculation. The usual one- and two-particle operators are found as special cases and their equivalence with the corresponding configuration-space operators is thus shown without a lengthy comparison of ...
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