- CARMA COLLOQUIUM
- Speaker: Jonathan Kress, University of NSW
- Title: Coupling constant metamorphosis and conformally covariant Laplacians
- Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
- Time and Date: 4:00 pm, Wed, 12th Feb 2014
This talk will give an introduction to the Kelper-Coulomb and harmonic oscillator systems fundamental in both the classical and quantum worlds. These systems are related by "coupling constant metamorphosis", a remarkable trick that exchanges the energy of one system with the coupling constant of the other. The trick can be seen to be a type of conformal transformation, that is, a scaling of the underlying metric, that maps "conformal symmetries" to "true symmetries" of a Hamiltonian system.
In this talk I will explain the explain the statements above and discuss some applications of coupling constant metamorphosis to superintegrable systems and differential geometry.
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