Construction of a few quantum mechanical Hamiltonians via Lévy-Leblond type linearization: Clifford momentum, spinor states and supersymmetry

DOI10.1007/S00006-022-01239-7OpenAlexW4294598323WikidataQ114232349 ScholiaQ114232349MaRDI QIDQ2080192

Pratyay Banerjee, Arindam Chakraborty, Ritaban Datta, Bhaskar Debnath

Publication date: 7 October 2022

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02734

zbMATH Keywords

linearizationSchrödinger equationClifford algebraspinorsupersymmetryloop algebrainverse square potentialRashba

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Critical electric dipole moment in one dimension
• Arbitrary spin Galilean oscillator
• Spinors in physics. Transl. from the French by J. Michael Cole
• Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
• Nonrelativistic particles and wave equations
• Semiconductor Spintronics
• Fundamental dynamical equations for spinor wavefunctions: I. Lévy-Leblond and Schrödinger equations
• Lectures on Quantum Field Theory
• Galilean equations for massless fields
• An Introduction to Clifford Algebras and Spinors
• $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations
• The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects
• Galilei invariant theories: I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions
• Classical Mechanics
• Black holes and Calogero models

This page was built for publication: Construction of a few quantum mechanical Hamiltonians via Lévy-Leblond type linearization: Clifford momentum, spinor states and supersymmetry