PT-Symmetry in (Generalized) Effect Algebras
| Autoři | |
|---|---|
| Rok publikování | 2011 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Theoretical Physics |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.springerlink.com/content/88684020j5t72x12/ |
| Doi | http://dx.doi.org/10.1007/s10773-010-0594-9 |
| Obor | Obecná matematika |
| Klíčová slova | (Generalized) effect algebra; Partially ordered commutative group; Hilbert space; (Unbounded) linear operators; PT-symmetry; Pseudo-Hermitian quantum mechanics |
| Popis | We show that an eta (+)-pseudo-Hermitian operator for some metric operator eta (+) of a quantum system described by a Hilbert space H yields an isomorphism between the partially ordered commutative group of linear maps on H and the partially ordered commutative group of linear maps on H(p+). The same applies to the generalized effect algebras of positive operators and to the effect algebras of c-bounded positive operators on the respective Hilbert spaces H and H(p+). Hence, from the standpoint of (generalized) effect algebra theory both representations of our quantum system coincide. |
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