Self-Consistent Effective Action for Quantum Particle with Space-Dependent Mass

M. E. S. Borelli; H. Kleinert

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Self-Consistent Effective Action for Quantum Particle with Space-Dependent Mass

M. E. S. Borelli·H. Kleinert

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Abstract

We calculate the quantum corrections to the classical action of a particle with coordinate-dependent mass. The result is made self-consistent by a variational approach, thus making it applicable to strong-couplings and singular potentials. By including thermal fluctuations, the we obtain an effective action whose classical Euler-Lagrange equation describes the motion of a particle including quantum and thermal effects.

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M. E. S. Borelli, H. Kleinert. 2000-06-30. Self-Consistent Effective Action for Quantum Particle with Space-Dependent Mass. https://arxiv.org/abs/quant-ph/0006135

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