A remark on natural quantum Lagrangians and natural generalized Schroedinger operators in Galilei quantum mechanics

Investor logo

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

JANYŠKA Josef

Year of publication 2001
Type Article in Periodical
Magazine / Source Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Natural operator; quantum bundle; quantum connection; quantum Lagrangian; Schroedinger operator
Description 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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.