出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：PCT , a fundamental symmetry of quantum eld theory, is derived from the
assumption of Lorentz invariance and positivity of the spectrum. What happens if we
assume only Lorentz invariance and PCT symmetry? Hamiltonians having this property
need not be Hermitian but, except when PCT is spontaneously broken, the energy levels
of such Hamiltonians are all real and positive! In this talk I examine quantum mechanical
and quantum eld theoretic systems whose Hamiltonians are non-Hermitian but obey
PCT symmetry. These systems have weird and remarkable properties. Examples of such
Hamiltonians are H = p2 +ix3 and H = p2 −x4. Hamiltonians such as these are complex
deformations of conventional Hermitian Hamiltonians. Thus, in this talk I study the
analytic continuation of conventional quantum mechanics into the complex plane.
