منابع مشابه
PT −symmetrized supersymmetric quantum mechanics
Supersymmetry between bosons and fermions is modeled within PT −symmetric quantum mechanics. A non-Hermitian alternative to the Witten’s supersymmetric quantum mechanics is obtained. Work supported by the grant Nr. A 1048004 of GA AS CR. e-mail: [email protected]
متن کاملScattering in PT -Symmetric Quantum Mechanics
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...
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...
متن کاملVariational ansatz for PT-symmetric quantum mechanics
A variational calculation of the energy levels of the class of PT-invariant quantum mechanical models described by the 2 Ž .N non-Hermitian Hamiltonian Hsp y ix with N positive and x complex is presented. The energy levels are determined 2 :Ž . Ž Ž . Ž .. Ž 2Ž .. Ž . by finding the stationary points of the functional H a,b,c ' H dx c x Hc x r H dx c x , where c x s C C b c Ž . ix exp a ix is a ...
متن کاملExperiments in PT −symmetric quantum mechanics
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2013
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2012.0523