Functional integral for non-Lagrangian systems
- Denis Kochan()
- Comenius U. and
- CERN
Citations per year
Abstract: (arXiv)
A novel functional integral formulation of quantum mechanics for non-Lagrangian systems is presented. The new approach, which we call "stringy quantization," is based solely on classical equations of motion and is free of any ambiguity arising from Lagrangian and/or Hamiltonian formulation of the theory. The functionality of the proposed method is demonstrated on several examples. Special attention is paid to the stringy quantization of systems with a general A-power friction force . Results for are compared with those obtained in the approaches by Caldirola-Kanai, Bateman and Kostin. Relations to the Caldeira-Leggett model and to the Feynman-Vernon approach are discussed as well.Note:
- 14 pages, 7 figures, corrected typos
- 11.10.Ef
- 03.65.Ca
- 31.15.xk
- field equations: classical
- Hamiltonian formalism
- quantum mechanics
- Lagrangian formalism
- path integral
- quantization
- string
References(32)
Figures(7)