Particle in a box inPT-symmetric quantum mechanics and an electromagnetic analog
نویسندگان
چکیده
منابع مشابه
A Critique of PT -Symmetric Quantum Mechanics
We study the physical content of the PT -symmetric complex extension of quantum mechanics as proposed in Bender et al, Phys. Rev. Lett. 80, 5243 (1998) and 89, 270401 (2002), and show that as a fundamental probabilistic physical theory it is neither an alternative to nor an extension of ordinary quantum mechanics. We demonstrate that the definition of a physical observable given in the above pa...
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Extended quantum mechanics using non-Hermitian (pseudo-Hermitian) Hamiltonians H = H is briefly reviewed. A few related mathematical experiments concerning supersymmetric regularizations, solvable simulations and large-N expansion techniques are summarized. We suggest that they could initiate a deeper study of non-localized structures (quasi-particles) and/or of their unstable and many-particle...
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A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T or PT invariance of the Hamiltonian. Applications to some solvable PT -symmetric potentials are shown in detail. Our main original results concern the association of reflectionless pote...
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www.physicstoday.org In their feature article “A TimeSymmetric Formulation of Quantum Mechanics” (PHYSICS TODAY, November 2010, page 27), Yakir Aharonov, Sandu Popescu, and Jeff Tollaksen state that there exists a “freedom to impose independent initial and final conditions on the evolution of a quantum system” without having to modify quantum mechanics “by an iota.” The supporting illustrations...
متن کاملPT −symmetric regularizations in supersymmetric quantum mechanics
Within the supersymmetric quantum mechanics the necessary regularization of the poles of the superpotentials on the real line of coordinates x may be most easily mediated by a small constant shift of this axis into complex plane. Detailed attention is paid here to the resulting recipe which works, in effect, with non-Hermitian (a. k. a. PT −symmetric or pseudo-Hermitian) Hamiltonians. Besides a...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2013
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.87.062111