Electronic Resource
Springer
The European physical journal
95 (1994), S. 261-273
ISSN:
1434-6036
Keywords:
03.65
;
47.10
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Certain phenomenological equations of dissipative quantum theory such as the Caldirola-Kanai equation or Kostin's nonlinear Schrödinger-Langevin equation are considered in the framework of Lagrangian field theory. The role of the Schrödinger quantization procedure in connection with the construction of variational principles for these equations is scrutinized. It is pointed out that incorrect Lagrangians for linearly damped systems have repeatedly been used in the literature. This has led to a considerable amount of confusion and contradictory results. It is demonstrated how a proper use of Schrödinger-quantization yields a correct Lagrangian description — in particular of Kostin's Schrödinger-Langevin equation-whose properties and implications are then investigated. The paper also deals with an application of Noether's theorem, contains some remarks about the introduction of external magnetic fields and points out an analogy in classical hydrodynamics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01312199
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