JANYŠKA, Josef. A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II. Palermo, Itálie: Univerzita Palermo, 2001, roč. 66, č. 2, s. 117-128. ISSN 0009-725X. |
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@article{361891, author = {Janyška, Josef}, article_location = {Palermo, Itálie}, article_number = {2}, keywords = {Natural operator; quantum bundle; quantum connection; quantum Lagrangian; Schroedinger operator}, language = {eng}, issn = {0009-725X}, journal = {Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II}, title = {A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics}, volume = {66}, year = {2001} }
TY - JOUR ID - 361891 AU - Janyška, Josef PY - 2001 TI - A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics JF - Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II VL - 66 IS - 2 SP - 117 EP - 117 PB - Univerzita Palermo SN - 0009725X KW - Natural operator KW - quantum bundle KW - quantum connection KW - quantum Lagrangian KW - Schroedinger operator N2 - The natural quantum Lagrangians which appear in Galilei general relativistic quantum mechanics are classified by using methods of natural operators. It is proved that all natural quantum Lagrangians are linear combinations (with real coefficients) of the canonical quantum Lagrangian and the product of the scalar curvature of a spacetime vertical connection and the Hermitian product. The classification of all natural generalized Schroedinger operators is given and it is proved that all natural generalized Schroedinger operators can be induced from natural quantum Lagrangians. ER -
JANYŠKA, Josef. A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics. \textit{Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II}. Palermo, Itálie: Univerzita Palermo, 2001, roč.~66, č.~2, s.~117-128. ISSN~0009-725X.
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