Second quantized representation of observables for orthofermions
β Scribed by R. Kishore; A.K. Mishra
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 117 KB
- Volume
- 404
- Category
- Article
- ISSN
- 0921-4526
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π SIMILAR VOLUMES
In this article we obtain an explicit integral representation of the Second Quantization. In concrete terms, we prove that the Segal duality transform maps 1(U ) in terms of an integral operator which extends the Wiener transform.
It is shown that the second quantization \(\Gamma(K)\) for a continuous linear operator \(K\) on a certain nuclear space \(E\) enjoys an integral representation on the dual space \(E^{*}\) with respect to the canonical Gaussian measure \(\mu\) on \(E^{*}\). Employing such a representation, sharper g
S&mitted hy Gorg IIeinig ABSTHACT We prove that the Lie algebra L' : [K,, K\_] = SK,,, [K,,, K,] = \*K,, where s is a real number, K,, is a Hermitian diagonal operator, and K+= K? has nontrivial matrix representations if and only if s > 0.
## A ~~ndqua~t~~tian representation of the Epstein-Nesbet partit~n~~ of the total electronic ~rnjitonjan is suggested. In this approach, the unperturbed hamiltonian contains not only the one-particle orbital energies but also the Coulomb and corresponding exchange two-particle terms. Such a hamilt