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RESEARCH PRODUCT
Solution for an arbitrary number of coupled identical oscillators.
Michelot Fsubject
PhysicsAlgebraic propertiesGeneralizationAtomic and Molecular Physics and OpticsFock spaceSchrödinger equationsymbols.namesakeQuantum mechanicsLie algebrasymbolsRepresentation (mathematics)Eigenvalues and eigenvectorsMathematical physicsThree dimensional modeldescription
We propose a solution to the problem of solving the Schr\"odinger equation for an arbitrary number of identical one-dimensional harmonically coupled oscillators raised by Fan Hong-yi [Phys. Rev. A 42, 4377 (1990)]. The relationship between the Fock spaces associated with the uncoupled and coupled oscillators is given as well as the coordinate representation of the eigenstates. In view of further applications, the Lie algebraic properties of the model are examined, and the generalization to three spatial dimensions is made.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-04-01 | Physical review. A, Atomic, molecular, and optical physics |