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@article{406089, author = {Janyška, Josef and Modugno, Marco}, article_location = {UK}, article_number = {40}, keywords = {Schoedinger operator; general covariance; quantum mechanics}, language = {eng}, issn = {0305-4470}, journal = {J. Phys. A: Math. Gen.}, title = {Covariant Schroedinger operator}, volume = {35}, year = {2002} }
TY - JOUR ID - 406089 AU - Janyška, Josef - Modugno, Marco PY - 2002 TI - Covariant Schroedinger operator JF - J. Phys. A: Math. Gen. VL - 35 IS - 40 SP - 8407 EP - 8407 PB - Institute of Physics Publishing SN - 03054470 KW - Schoedinger operator KW - general covariance KW - quantum mechanics N2 - We analyse the Schroedinger operator for a quantum scalar particle in a curved spacetime which is fibred over absolute time and is equipped with given spacelike metric, gravitational field and electromagnetic field. We approach the Schroedinger operator by three independent ways: in terms of covariant differentials induced by the quantum connection, via a quantum Lagrangian and directly by the only requirement of general covariance. In particular, in the flat case, our Schroedinger operator coincides with the standard one. ER -
JANYŠKA, Josef a Marco MODUGNO. Covariant Schroedinger operator. \textit{J. Phys. A: Math. Gen.}. UK: Institute of Physics Publishing, roč.~35, č.~40, s.~8407-8434. ISSN~0305-4470. 2002.
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