90 citations · 233 across the 19 of their papers we have counts for
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Uncertainty Relation and Minimum Wave Packet on Circle
Naohisa Ogawa, Shuichi Nagasawa
We discuss on the uncertainty relation (UR) for a closed one dimensional system (circle). In such a system, we cannot use the angle along the circle as a position variable. Otherwi…
Algebraic construction of spherical harmonics
Naohisa Ogawa
The angular wave functions for a hydrogen atom are well known to be spherical harmonics, and are obtained as the solutions of a partial differential equation. However, the differen…
Geometric Flow appearing in Conservation Law in Classical and Quantum Mechanics
Naohisa Ogawa
The appearance of a geometric flow in the conservation law of particle number in classical particle diffusion and in the conservation law of probability in quantum mechanics is dis…
From Fermat Principle to Wave equation
Naohisa Ogawa
The Fermat principle indicates that light chooses the temporally shortest path. The action for this "motion" is the observed time, and it has no Lorentz invariance. In this paper w…