6533b7cffe1ef96bd1257cd2

RESEARCH PRODUCT

The algebra eigenstates method for some systems with spin-like interactions

Françoise Michelot

subject

PhysicsDegenerate energy levelsGeneral Physics and Astronomycoherent statesElectronic statesAlgebraFormalism (philosophy of mathematics)algebraic methods[ PHYS.PHYS.PHYS-AO-PH ] Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]vibronic spectroscopyCoherent statesVibronic spectroscopyalgebra eigenstatesHarmonic oscillatorEigenvalues and eigenvectorsGroup theory

description

International audience; An extension of the algebra eigenstates formalism is proposed to solve the eigenvalue equation for a class of problems involving "spin interactions". The method is detailed for the harmonic oscillator, su(2) and su(1, 1) algebras. Special emphasis is given to the resolution of problems in vibronic spectroscopy involving doubly degenerate electronic states.

https://hal.archives-ouvertes.fr/hal-00437110