Equivalence of Dirac quantization and Schwinger's action principle quantization

Quantization and Morita Equivalence for Constant Dirac Structures on Tori

We define a C∗-algebraic quantization of constant Dirac structures on tori, which extends the standard quantization of Poisson structures. We prove that Dirac structures in the same orbit of a natural action of O(n, n|Z) give rise to Morita equivalent algebras, completing and extending a theorem of Rieffel and Schwarz.

Quantization of Dirac Field

Equivalence Principle and Field Quantization in Curved Spacetime

To comply with the equivalence principle, fields in curved spacetime can be quantized only in the neighborhood of each point, where one can construct a freely falling Minkowski frame with zero curvature. In each such frame, the geometric forces of gravity can be replaced by a selfinteracting spin-2 field, as proposed by Feynman in 1962. At a fixed distance R from a black hole, the vacuum in eac...

Quantization of Thermodynamics, Supersecondary Quantization, and a New Variational Principle

In solving the problem of finding a temperature distribution which, at zero temperature, corresponds to superfluidity, i.e., to nonzero energy, the author tried to quantize free energy. This was done on the basis of supersecondary quantization whose special case is the usual secondary quantization for bosons and with the help of which new representations of the Schrödinger equation were obtaine...

BRST-BFV quantization and the Schwinger action principle

We introduce an operator version of the BRST-BFV effective action for arbitrary systems with first-class constraints. Using the Schwinger action principle we calculate the propagators corresponding to: (i) the parametrized non-relativistic free particle, (ii) the relativistic free particle and (iii) the spining relativistic free particle. Our calculation correctly imposes the BRST-invariance at...