an:03918962
Zbl 0575.35086
Garbaczewski, Piotr
Constituent quantization of soliton fields. I: Canonical action-angle formalism for the sine-Gordon system. II: Nonlinear Schr??dinger system
EN
Univ. Bielefeld, Forschungszentr. Bielefeld-Bochum-Stochastik 53, 23 p. (1985).
1985
b
35Q99 81T08 81R30 81U99
quantization; classical Hamiltonians; action-angle variables; completely integrable systems; soliton fields; sine-Gordon; nonlinear Schr??dinger; energy spectra
It is well known that quantization of classical Hamiltonians is an ambiguous, coordinate-dependent procedure. The paper in question gives this problem a new setting: quantization in the action-angle variables (i.e., in a sense, canonical, constituent) is developed and investigated for completely integrable systems.
The two model cases discussed are the soliton fields in sine-Gordon and nonlinear Schr??dinger equations. The energy spectra obtained after quantization are claimed to conform with those traditionally obtained by the radiation contribution is automatically accounted for the constituent quantization scheme.
A.Bocharov