New rational extensions of solvable potentials with finite bound state spectrum
نویسندگان
چکیده
منابع مشابه
Bound state spectrum in the finite volume
The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if the bound state were close to threshold, i.e. like a “loosely bound state”. To study bound states in the finite volume, we calculate the positronium spectrosco...
متن کاملNew Solvable and Quasi Exactly Solvable Periodic Potentials
Using the formalism of supersymmetric quantum mechanics, we obtain a large number of new analytically solvable one-dimensional periodic potentials and study their properties. More specifically, the supersymmetric partners of the Lamé potentials ma(a+ 1) sn(x,m) are computed for integer values a = 1, 2, 3, .... For all cases (except a = 1), we show that the partner potential is distinctly differ...
متن کاملTriton Bound State Calculation with Energy - Dependent Separable Potentials
Energy-dependent N-N separable potentials proposed recently by Garcilazo are examined in trinucleon systems. For-the special energydependence of the two-body potentials chosen there the Faddeev equations are well defined, unique, and preserve three-body unitarity. It is found that Garcilazo potentials overbind the triton by more than 14 MeV. A modified Garcilazo potential is proposed, which tak...
متن کاملSolvable Noncentral Potentials
Using the ideas of supersymmetry and shape invariance we show that the eigenvalues and eigenfunctions of a wide class of noncentral potentials can be obtained in a closed form by the operator method. This generalization considerably extends the list of exactly solvable potentials for which the solution can be obtained algebraically in a simple and elegant manner. As an illustration, we discuss ...
متن کاملOn Exactly Solvable Potentials
We investigate two methods of obtaining exactly solvable potentials with analytic forms. PACS numbers:03.65.Ge,11.30.Pb There are two methods of obtaining exactly solvable potentials in quantum mechanics. The first method was developed by applying the technique of supersymmetry (SUSY) to the Schrödinger equation and obtain two potentials with almost identical spectra. The two potentials can be ...
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: Physics Letters A
سال: 2012
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2012.09.037