Motion of position-dependent mass as a damping-antidamping process: Application to the Fermi gas and to the Morse potential

Details Motion of position-dependent mass as a damping-antidamping process: Application to the Fermi gas and to the Morse potential Motion of position-dependent mass as a damping-antidamping process: Application to the Fermi gas and to the Morse potential

2011-03-28

arxiv.org/abs/1103.5440v3

J. Phys. A: Math. Theor. 44 385301 ( 2011 )

Physics

Quantum Physics

Preprint, 24 pages, 2 figures. We now derive the correct condition that should be satisfied by the derivative of the wave func

Scientific paper

10.1088/1751-8113/44/38/385301

The object of this paper is to investigate, classically and quantum mechanically, the relation existing between the position-dependent effective mass and damping-antidamping dynamics. The quantization of the equations of motion is carried out using the geometric interpretation of the motion, and we compare it with the one based on the ordering ambiguity scheme. Furthermore, we apply the obtained results to a Fermi gas of damped-antidamped particles, and we solve the Schr\"odinger equation for an exponentially increasing (decreasing) mass in the presence of the Morse potential.

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