Results 111 to 120 of about 3,314 (147)

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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Representation of the spin operator in the spin-free second quantized approach

Journal of Molecular Structure: THEOCHEM, 1998
Abstract This paper reports the representation of the spin operation S 2 , corresponding to an N-electron system, using the spin-free second quantization formalism. This approach allows to determine, in a suitable way, the S-representability of the second order reduced density matrix.
A. Torre, L. Lain
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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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Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis

Acta Applicandae Mathematica, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chung, Dong Myung, Ji, Un Cig
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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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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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Generalization of the New Resonance Theory: Second Quantization Operator, Localization Scheme, and Basis Set

Journal of Chemical Theory and Computation, 2009
We have recently proposed a method to evaluate the weights of resonance structures embedded in a molecular orbital by utilizing singlet-coupling scheme of an electron pair [J. Phys. Chem. A 2006, 110, 9028]. The method was formulated on the basis of the second quantization, in which a biorthogonal operator related to Mulliken population (MP) was used ...
Ikeda, Atsushi, Nakao, Yoshihide, Sato, Hirofumi, Sakaki, Shigeyoshi   +3 more
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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
Mir Faizal, Yoshiaki Ohkuwa
exaly