Conservation of pseudo-norm in PT symmetric quantum mechanics

dc.creatorZnojil, Miloslav
dc.date2001-04-09
dc.date.accessioned2026-07-07T04:28:23Z
dc.date.available2026-07-07T04:28:23Z
dc.descriptionAn extension of the Stone's theorem to PT symmetric, extended quantum mechanics must employ its pseudo-norm. We show that the evolution of the wave functions is then pseudo-unitary, and emphasize that their pseudo-norm remains time-independent even in the spontaneously broken symmetry regime where the energies themselves cease to be real.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0104012
dc.identifierhttp://arxiv.org/abs/math-ph/0104012
dc.identifierRendic. Circ. Mat. Palermo, Ser. II, Suppl. 72 (2004), 211 - 218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56770
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35K90; 35Q40; 81S99; 81T10; 35P10; 46C20; 46N50
dc.titleConservation of pseudo-norm in PT symmetric quantum mechanics
dc.typetext

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