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Eigenfunctions of linear combinations of creation and annihilation operators

Research paper by V. G. Bagrov, D. M. Gitman, V. A. Kuchin

Indexed on: 01 Sep '75Published on: 01 Sep '75Published in: Russian Physics Journal



Abstract

Eigenfunctions of the linear combinations of Bose creation c+ and annihilation c operators are considered. The operators are classified into c, c+, and (c + c+) types. It is shown that the eigenfunctions of c-type operators are normalized but not orthogonal, while the eigenfunctions of (c + c+)-type operators are orthogonal and are normalized to the δ-function. As an illustration, several examples of (c + c+)-type operators are considered, their eigenfunctions are found, and their orthogonality and completeness are proved.