54 citations · 209 across the 21 of their papers we have counts for
21 papers
Weyl-Underhill-Emmrich quantization and the Stratonovich-Weyl quantizer
J. Plebanski, M. Przanowski, F. J. Turrubiates
Weyl-Underhill-Emmrich (WUE) quantization and its generalization are considered. It is shown that an axiomatic definition of the Stratonovich-Weyl (SW) quantizer leads to severe di…
Deformation Quantization of Geometric Quantum Mechanics
H. Garcia-Compean, J. F. Plebanski, M. Przanowski +1
Second quantization of a classical nonrelativistic one-particle system as a deformation quantization of the Schrodinger spinless field is considered. Under the assumption that the…
Deformation Quantization of sdiff() SDYM Equation
M. Przanowski, J. F. Plebanski, S. Formanski
Deformation quantization (the Moyal deformation) of SDYM equation for the algebra of the area preserving diffeomorphisms of a 2-surface , sdiff(), is studied. Deforme…
Matrix representation of the generalized Moyal algebra
Jerzy F. Plebanski, Maciej Przanowski, Francisco J. Turrubiates
It is shown that the isomorphism between the generalized Moyal algebra and the matrix algebra follows in a natural manner from the generalized Weyl quantization rule and from the w…
Non-vacuum twisting type N metrics
Paweł~Nurowski, Jerzy F. Plebański
A maximally reduced system of equations corresponding to the twisting type N Einstein metrics is given. When the cosmological constant they reduce to the standard equation…
Deformation Quantization of Bosonic Strings
H. Garcia-Compean, J. F. Plebanski, M. Przanowski +1
Deformation quantization of bosonic strings is considered. We show that the light-cone gauge is the most convenient classical description to perform the quantization of bosonic str…