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Second Quantized Representation of Quantum-Mechanical Operators
1989We 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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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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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, 2000Second-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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Ukrainian Mathematical Journal, 1988
Translation from Ukr. Mat. Zh. 39, No.3, 396-397 (Russian) (1987; Zbl 0632.47011).
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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, 1982openaire +1 more source
Operator ordering ambiguity and third quantization
Annals of Physics, 2020Yoshiaki Ohkuwa, Mir Faizal
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Quantization of Lie bialgebras, Part V: Quantum vertex operator algebras
Selecta Mathematica, New Series, 2000P Étingof, D Kazhdan, Kazhdan D
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Second quantized form of a two-particle operator
American Journal of Physics, 1976openaire +1 more source
Difference Operator Approach to the Moyal Quantization
Journal of the Physical Society of Japan, 1996Saito Satoru
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