Invariants of the equations of wave mechanics: Rigid rotator and symmetric top
- 1 November 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (11) , 1527-1531
- https://doi.org/10.1063/1.1666221
Abstract
Applying the systematic method discussed in previous papers, we derive the invariants and the groups of the time‐dependent Schrödinger equations for the rigid rotator and the symmetric top. The groups for these systems are found to be SO(3,2) (rigid rotator) and SU(2,2) (symmetric top). For the case of the symmetric top, it is found that under the symmetry breaking I1 = I2 = I3 → I1 = I2 ≠ I3, where I1, I2, and I3 are the moments of inertia of the top, two of the time‐independent constants of the motion become time‐dependent constants of the motion.Keywords
This publication has 3 references indexed in Scilit:
- Generalization of the Concept of Invariance of Differential Equations. Results of Applications to Some Schrödinger EquationsPhysical Review Letters, 1972
- Dynamical Groups and the Bethe-Salpeter EquationPhysical Review B, 1968
- Coupling problem for U(p, q) ladder representations. IProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1968