slq(2) Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations
O. F. Dayi, I. H. Duru
Abstract
The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for q-canonical transformation is deduced. q-Schrödinger equation for a Kepler like potential is obtained from the q-oscillator Schrödinger equation. Energy spectrum and the ground state wave function are calculated.
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