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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   +2 more
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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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Modification of the spectrum of the second-quantization operator under its perturbation by a potential

Ukrainian Mathematical Journal, 1988
Translation from Ukr. Mat. Zh. 39, No.3, 396-397 (Russian) (1987; Zbl 0632.47011).
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Perturbations of secondary-quantization operators

Functional Analysis and Its Applications, 1982
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Operator ordering ambiguity and third quantization

Annals of Physics, 2020
Yoshiaki Ohkuwa, Mir Faizal
exaly  

Quantization of Lie bialgebras, Part V: Quantum vertex operator algebras

Selecta Mathematica, New Series, 2000
P Étingof, D Kazhdan, Kazhdan D
exaly  

Difference Operator Approach to the Moyal Quantization

Journal of the Physical Society of Japan, 1996
Saito Satoru
exaly  

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