Refined Factorizations of Solvable Potentials
J. Negro, L. M. Nieto, O. Rosas-Ortiz
Abstract
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.
Create a lesson
Related papers
Spectral Fingerprints of Gauge Theories on a Quantum Computer
Graham Van Goffrier, Debasish Banerjee, Bipasha Chakraborty et al.
Dynamics of local quantum information in random unitary circuits
Ratul Thakur, Sthitadhi Roy
Factorized Boolean representations for efficient quantum synthesis
Mehul Shah, Robert Fiszer, Marek Perkowski
Detuning- and Stark-robust Rydberg gates
Elie Bataille, Gyohei Nomura, Manuel Endres
Krylov Break Times from an Inhomogeneous Lieb--Robinson Light Cone
Shunji Matsuura, Yoji Kawamura, Joseph Salfi et al.
Stochastic transport of a Goldstone mode in a self-organized atomic crystal
Zhanhai Yu, Di Xiang, Xiaotian Zhang et al.