Covariant pre-quantum operators

作者: Josef Janyška , Marco Modugno

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摘要: We study distinguished operators in the covariant formulation of Quantum Machanics over a curved spacetime with absolute time. Moreover, we classify all second-order covariant operators on quantum bundle.

参考文章(10)
Jȩdrzej Śniatycki, Geometric quantization and quantum mechanics Springer New York. ,(1980) , 10.1007/978-1-4612-6066-0
David J. Eck, Gauge-natural bundles and generalized gauge theories Memoirs of the American Mathematical Society. ,vol. 33, pp. 0- 0 ,(1981) , 10.1090/MEMO/0247
Peter W Michor, Ivan Kolář, Jan Slovák, None, Natural operations in differential geometry ,(1993)
C. Duval, H. P. K�nzle, Minimal Gravitational Coupling in the Newtonian Theory and the Covariant Schrodinger Equation General Relativity and Gravitation. ,vol. 16, pp. 333- 347 ,(1984) , 10.1007/BF00762191
Raffaele Vitolo, Quantum structures in Galilei general relativity Annales De L Institut Henri Poincare-physique Theorique. ,vol. 70, pp. 239- 257 ,(1999)
Josef Janyška, Marco Modugno, On the graded Lie algebra of quantisable forms Differential Geometry and Applications. Satellite Conference. pp. 601- 620 ,(1999)
Josef Janyška, A remark on natural quantum Lagrangians and natural generalizedSchroedinger operators in Galilei quantum mechanics Supplemento ai Rendiconti del Circolo Matematico di#N#Palermo,Serie II. pp. 117- 128 ,(2001)
Josef Janyška, Marco Modugno, Arkadius Jadczyk, Galilei general relativistic quantum mechanics revisited Univerzita Coimbra. pp. 253- 313 ,(1998)
N. M. J. Woodhouse, Geometric Quantization ,(1992)