Conservation of pseudo-norm in PT symmetric quantum mechanics

Details Conservation of pseudo-norm in PT symmetric quantum mechanics Conservation of pseudo-norm in PT symmetric quantum mechanics

2001-04-09

arxiv.org/abs/math-ph/0104012v1

Rendic. Circ. Mat. Palermo, Ser. II, Suppl. 72 (2004), 211 - 218

Physics

Mathematical Physics

13 pages

Scientific paper

An 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.

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