Coherent states of inverse oscillators and related problems
作者： V G Bagrov , D M Gitman , E S Macedo , A S Pereira
DOI: 10.1088/1751-8113/46/32/325305
关键词: Free particle 、 Inverse 、 Quantum system 、 Glauber 、 Mathematics 、 Quantum mechanics 、 Semiclassical physics 、 Schrödinger's cat 、 Coherent states 、 Parabolic potential
摘要: We consider an example of a quantum system with continuous and unbounded spectrum—a particle in the parabolic potential barrier. Conditionally, we call this inverse oscillator. Following method used our previous publication (Bagrov et al 2012 J. Phys. A: Math. Theor. 45 125306), construct different families generalized coherent states (GCS). discuss properties constructed GCS their relation to what is already known literature about semiclassical for Then same manner, normal Using special variables, succeeded constructing oscillator that admit limiting cases: free GCS, usual Schrodinger, Glauber CS
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