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Quantum kinematics and geometric quantization

✍ Scribed by Zhao Qiang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
352 KB
Volume
21
Category
Article
ISSN
0393-0440

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✦ Synopsis

Quantum kinematics on a configuration manifold (Angermann et al., 1983;Tolar 1991) extends the notion of schrdinger systems (Segal, 1960; Stov~ek, 1981). Geometric quantization sets as its goal the construction of quantum objects using the geometry of the corresponding classical objects as a point of departure (Kirillov, 1992; Koodhouse, 1992). In this paper, we prove that differential quantum kinematics on a smooth manifold Q derive from the geometric quantization on the cotangent bundle T* Q.

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