English

Functional minimization method addressed to the vacuum finding for an arbitrary driven quantum oscillator

Quantum Physics 2009-05-18 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory Computational Physics

Abstract

The old problem exists for a driven (time-dependent) quantum oscillator: to differ the true vacuum state from the squeezed one. We suggest finding the true vacuum state by minimization of the functional containing the difference of the potential and kinetic energies of oscillator. Analytical and numerical examples confirming this offer are considered.

Keywords

Cite

@article{arxiv.0806.1593,
  title  = {Functional minimization method addressed to the vacuum finding for an arbitrary driven quantum oscillator},
  author = {S. V. Anischenko and S. L. Cherkas and V. L. Kalashnikov},
  journal= {arXiv preprint arXiv:0806.1593},
  year   = {2009}
}

Comments

9 pages

R2 v1 2026-06-21T10:49:02.002Z