2014/07/03 by Carlos Tejero Prieto, Carlos Prieto, Raffaele Vitolo
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Advanced Topics in Algebra #Advanced Operator Algebra Research
paper · doi:10.1142/s0219887814600275
We analyze the different ways to define the energy operator in geometric theories of quantum mechanics. In some formulations, the operator contains the scalar curvature as a multiplicative term. We show that such term can be cancelled or added with an arbitrary constant factor, both in the mainstream geometric quantization and in the covariant quantum mechanics developed by Jadczyk and Modugno with several contributions from many authors.