5 citations · 11 across the 8 of their papers we have counts for
8 papers
Analyzing collisions in classical mechanics using mass-momentum diagrams
Akihiro Ogura
We show the value of mass-momentum diagrams for analyzing collision problems in classical mechanics in one dimension. Collisions are characterized by the coefficient of restitution…
Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations
Akihiro Ogura, Motoo Sekiguchi
We investigate the algebraic structure of the Feynman propagator with a general time-dependent quadratic Hamiltonian system. Using the Lie-algebraic technique we obtain a normal-or…
Linear Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
Akihiro Ogura, Motoo Sekiguchi
We investigate two methods of constructing a solution of the Schrödinger equation from the canonical transformation in classical mechanics. One method shows that we can formulate t…
Moving Picture and Hamilton-Jacobi Theory in Quantum Mechanics
Akihiro Ogura, Motoo Sekiguchi
We propose a new picture, which we call the {\it moving picture}, in quantum mechanics. The Schrödinger equation in this picture is derived and its solution is examined. We also in…
A New Current Regularization of Thirring Model
H. Takahashi, A. Ogura
We study an ambiguity of the current regularization in the Thirring model. We find a new current definition which enables to make a comprehensive treatment of the current. Our form…
Post-Gaussian variational method for quantum anharmonic oscillator
Akihiro Ogura
Using the post-Gaussian trial functions, we calculate the variational solutions to the quantum-mechanical anharmonic oscillator. We evaluate not only the ground state but also some…