A Novel Isospectral Deformation Chain in Supersymmetric Quantum Mechanics
نویسنده
چکیده
منابع مشابه
Isospectral Hulthén Potential
Supersymmetric Quantum Mechanics is an interesting framework to analyze nonrelativistic quantal problems. Using these techniques, we construct a family of strictly isospectral Hulthén potentials. Isospectral wave functions are generated and plotted for different values of the deformation parameter. Keywords—Hulthén potential, Isospectral Hamiltonian.
متن کاملDeformation of Supersymmetric and Conformal Quantum Mechanics through Affine Transformations
Affine transformations (dilatations and translations) are used to define a deformation of one-dimensional N = 2 supersymmetric quantum mechanics. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are q-isospectral, i.e. the spectrum of one can be obtained from another (with possible exception of the lowest level) by q2-f...
متن کاملSelf-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics
We discuss supersymmetric quantum mechanical models with periodic potentials. The important new feature is that it is possible for both isospectral potentials to support zero modes, in contrast to the standard nonperiodic case where either one or neither (but not both) of the isospectral pair has a zero mode. Thus it is possible to have supersymmetry unbroken and yet also have a vanishing Witte...
متن کاملar X iv : q ua nt - p h / 97 11 05 9 v 3 1 6 A pr 1 99 8 Strictly isospectral supersymmetry and Schroedinger general zero modes
The connection between the strictly isospectral construction in supersymmetric quantum mechanics and the general zero mode solutions of the Schroedinger equation is explained by introducing slightly generalized first-order intertwining operators. We also present a multiple-parameter generalization of the strictly isospectral construction in the same perspective.
متن کاملComment on “Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics”
We show that the formalism of supersymmetric quantum mechanics applied to the solvable elliptic function potentials V (x) = mj(j + 1)sn(x,m) produces new exactly solvable onedimensional periodic potentials. In a recent paper, Dunne and Feinberg [1] have systematically discussed various aspects of supersymmetric quantum mechanics (SUSYQM) as applied to periodic potentials. In particular, they de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017