We consider the application of the supersymmetric quantum-mechanical formalism to the Schrödinger equation describing a particle characterized by a position-dependent effective …
SP Khastgir, AJ Pocklington… - Journal of Physics A …, 2000 - iopscience.iop.org
The issues related to the integrability of quantum Calogero-Moser models based on any root systems are addressed. For the models with degenerate potentials, ie the rational …
PK Ghosh - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
The development in the study of supersymmetric many-particle quantum systems with inverse-square interactions is reviewed. The main emphasis is on quantum systems with …
AJ Bordner, NS Manton, R Sasaki - Progress of Theoretical …, 2000 - academic.oup.com
It is shown that the Calogero-Moser models based on all root systems of the finite reflection groups (both the crystallographic and non-crystallographic cases) with the rational …
G Auberson, SR Jain, A Khare - Journal of Physics A …, 2001 - iopscience.iop.org
We obtain the exact ground state and part of the excitation spectrum in one dimension on a line and the exact ground state on a circle in the case where the N particles are interacting …
ANF Aleixo, AB Balantekin… - Journal of Physics A …, 2000 - iopscience.iop.org
A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance Page 1 Journal of Physics A: Mathematical and General A generalized Jaynes-Cummings Hamiltonian …
A Gangopadhyaya, J Bougie… - Journal of Physics A …, 2021 - iopscience.iop.org
Semiclassical methods provide important tools for approximating solutions in quantum mechanics. In several cases these supposedly approximate solutions are intriguingly exact …
Reinterpretation of mathematics behind the exactly solvable Calogero's A-particle quantum model is used to propose its generalization. Firstly, it is argued that the strongly singular …
We analyze a generalization of the quantum Calogero model with the underlying conformal symmetry, paying special attention to the two-body model deformation. Owing to the …