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quant-ph2021
Comments on the Aharonov-Bohm Effect
Kazuyasu Shigemoto, Kunihiko Uehara
In the original setting of the Aharonov-Bohm, the gauge invariant physical longitudinal mode of the vector potential, which is written by the gauge invariant physical current $(-e)…
nlin.SI2021★ 2 cited
Two Flows Kowalevski Top as the Full Genus Two Jacobi's Inversion Problem and Sp(4,) Lie Group Structure
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
By using the first and the second flows of the Kowalevski top, we can make the Kowalevski top into the two flows Kowalevski top, which has two time variales. Then we show that equa…
nlin.SI2021★ 6 cited
Differential Equations of Genus Four Hyperelliptic Functions
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
In order to find higher dimensional integrable models, we study differential equations of hyperelliptic functions up to genus four. For genus two, differential equations of h…