4 papers
Continuous Limit of Multiple Gravitational Lens Effect and Average Magnification Factor
Hiroshi Yoshida, Kouji Nakamura, Minoru Omote
We show that the gravitational magnification factor averaged over all configurations of lenses in a locally inhomogeneous universe satisfy a second order differential equation with…
Classical and Quantum Behavior of Genaralized Oscillators - action variable, angle variable and quantum phase -
M. Omote, S. Sakoda, S. Kamefuchi
The relation that exists in quantum mechanics among action variables, angle variables and the phases of quantum states is clarified, by referring to the system of a generalized osc…
Inertial Force, Equivalence Principle and Quantum Mechanics
Minoru Omote, Susumu Kamefuchi
On the basis of a manifestly covariant formalism of non-relativistic quantum mechanics in general coordinate systems, proposed by us recently, we derive general expressions for ine…
Symmetry and Covariance of Non-relativistic Quantum Mechanics
Minoru Omote, Susumu Kamefuchi
On the basis of a 5-dimensional form of space-time transformations non-relativistic quantum mechanics is reformulated in a manifestly covariant manner. The resulting covariance res…