Abstract
The solution of the Schrödinger equation for a position-dependent mass quantum system is studied in two ways. First, the interaction is found which must be applied to a mass m(x) in order to supply it with a particular spectrum of energies. Second, given a specific potential V(x) acting on the mass m(x), the related spectrum is found. The method of solution is applied to a wide class of position-dependent mass oscillators and the corresponding coherent states are constructed. The analytical expressions of such position-dependent mass coherent states preserve the functional structure of the Glauber states.
Original language | English |
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Article number | 185205 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 42 |
Issue number | 18 |
DOIs | |
State | Published - 2009 |