Další formáty:
BibTeX
LaTeX
RIS
@article{1389071, author = {Janyška, Josef and Modugno, Marco}, article_location = {Amsterdam}, article_number = {October}, doi = {http://dx.doi.org/10.1016/j.difgeo.2017.03.021}, keywords = {Covariant classical mechanics; Covariant quantum mechanics; Galileian metric; Phase space; Quantum connection; Quantum potential}, language = {eng}, issn = {0926-2245}, journal = {Differential Geometry and its Applications}, title = {Quantum potential in covariant quantum mechanics}, url = {http://www.sciencedirect.com/science/article/pii/S0926224517300487}, volume = {54}, year = {2017} }
TY - JOUR ID - 1389071 AU - Janyška, Josef - Modugno, Marco PY - 2017 TI - Quantum potential in covariant quantum mechanics JF - Differential Geometry and its Applications VL - 54 IS - October SP - 175-193 EP - 175-193 PB - Elsevier Science SN - 09262245 KW - Covariant classical mechanics KW - Covariant quantum mechanics KW - Galileian metric KW - Phase space KW - Quantum connection KW - Quantum potential UR - http://www.sciencedirect.com/science/article/pii/S0926224517300487 L2 - http://www.sciencedirect.com/science/article/pii/S0926224517300487 N2 - We discuss several features of the classical quantum potential appearing in Covariant Quantum Mechanics. In particular, we compare the “observed potential” of the joined spacetime connection with the potential of the cosymplectic phase 2-form and with the potential of the upper quantum connection. Moreover, we discuss the distinguished observer and the distinguished timelike potential associated with a non-vanishing quantum section of the quantum bundle. We show that the above objects play a natural role in the context of the kinetic quantum momentum, of the quantum probability current, of the Schrödinger operator and of the classical fluid associated with a non-vanishing quantum section. ER -
JANYŠKA, Josef a Marco MODUGNO. Quantum potential in covariant quantum mechanics. \textit{Differential Geometry and its Applications}. Amsterdam: Elsevier Science, 2017, roč.~54, October, s.~175-193. ISSN~0926-2245. Dostupné z: https://dx.doi.org/10.1016/j.difgeo.2017.03.021.
|