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RESEARCH PRODUCT
A universal relation for power-law confining interactions
F.m. FernándezRafael GuardiolaJ. Navarrosubject
PhysicsParticle systemMean squaresymbols.namesakeQuantum mechanicssymbolsExponentGeneral Physics and AstronomyPower lawUniversal relationExcitationSchrödinger equationdescription
Abstract Power-law ( r α ) confining interactions are considered in the Schrodinger equation with a hyperangular momentum, which corresponds to the lowest order of the hyperspherical harmonic expansion for an N -particle system. It is shown that the product of the first odd-parity excitation energy times the mean square radius is independent of the exponent α of the potential within a few percent. This universal relation is extended to other states.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-11-01 | Physics Letters A |