On relations between vertex operators, quasiclassical operators, and phase space coordinates. (English) Zbl 0900.35350
Summary: For certain situations, we give a geometrical background for quasiclassical Kadomtsev-Petviashvili equation calculations based on an explicit connection to quantum mechanics and the collapse of coherent states to coadjoint orbits for classical operators.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
Keywords:
quasiclassical Kadomtsev-Petviashvili equation; coherent states; coadjoint orbits for classical operatorsReferences:
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