Title
Comment on "Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty"
Document Type
Article
Publication Date
2007
Publication Title
Physical Review A
Department
Physics
Abstract
In Phys. Rev. A 70, 032104 (2004), M. Montesinos and G. F. Torres del Castillo consider various symplectic structures on the classical phase-space of the two-dimensional isotropic harmonic oscillator. Using Dirac’s quantization condition, the authors investigate how these alternative symplectic forms affect this system’s quantization. They claim that these symplectic structures result in mutually inequivalent quantum theories. In fact, we show here that there exists a unitary map between the two representation spaces so that the various quantizations are equivalent.
ISSN
1050-2947
WorldCat Link
Provider Link
Citation
Latimer, D. "Comment on “symplectic Quantization, Inequivalent Quantum Theories, and Heisenberg’s Principle of Uncertainty”." Physical Review a. 75.6 (2007). Print.