q-Schrodinger Equations for V=u2+ 1/u2 and Morse Potentials in terms of the q-canonical Transformation
O. F. Dayi, I. H. Duru
Abstract
The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Schrödinger equations for the Morse and the V=u2+1/u2 potentials were known to be related by a canonical transformation. q-deformed analog of this transformation connecting two different realizations of the slq(2) algebra is presented. By the virtue of the q-canonical transformation a q-deformed Schrödinger equation for the Morse potential is obtained from the q-deformed V=u2+ 1/u2 Schrödinger equation. Wave functions and eigenvalues of the q-Schrödinger equations yielding a new definition of the q-Laguerre polynomials are studied.
Create a lesson
Related papers
Proof of the AGT Conjecture at Generic β
Le-Feng Chen, Kilar Zhang
Casimir operators of 4D\,, N=2 supersymmetry in the harmonic approach
Egor Eremeev, Evgeny Ivanov
Doubly-scaled planar N = 4 SYM \& Carroll Holography
Arjun Bagchi, Prateksh Dhivakar, Alok Laddha et al.
Quantum Selection of Classical Histories
Omer Guleryuz
Wess-Zumino gauge for analytic prepotentials of off-shell N=2 supergravity: bosonic sector
Nikita Zaigraev, Julia Zernina
Testing holographic computation of entanglement pseudo-entropy in dS3/ICFT2
Liang Li