297 citations
- National Astronomical Observatory of JapanJP16 papers
- The Graduate University for Advanced Studies, SOKENDAIJP16 papers
- Tokyo Gakugei UniversityJP15 papers
- The University of TokyoJP12 papers
- Dokkyo UniversityJP5 papers
- Kagoshima UniversityJP5 papers
- University of VirginiaUS5 papers
- Atacama Large Millimeter Submillimeter ArrayCL4 papers
- Korea Astronomy and Space Science InstituteKR4 papers
- Korea University of Science and TechnologyKR4 papers
- Nagoya City UniversityJP4 papers
- Astrophysique, Instrumentation et ModélisationFR3 papers
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Equivalence of Weyl Vacuum and Normal Ordered Vacuum in the Moyal Quantization
Takao Koikawa
We study the features of the vacuum of the harmonic oscillator in the Moyal quantization. Two vacua are defined, one with the normal ordering and the other with the Weyl ordering.…
Role of the imaginary part in the Moyal quantization
Takao Koikawa
We show that the imaginary part of the -genvalue equation in the Moyal quantization reveals the symmetries of the Hamiltonian by which we obtain the conserved quantities. Ap…
On the vacuum in the Moyal quantization
Takao Koikawa
We study the features of the vacuum of the harmonic oscillator in the Moyal quantization. The vacuums with and without using the normal ordering look different. The vacuum without…
Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation
Takao Koikawa
We investigate the equation where the commutation relation in 2-dimensional zero-curvature equation composed of the algebra-valued potentials is replaced by the Moyal bracket and t…