Brief review on nonlinear master Schrödinger equation and its related gauge invariance
Teguh Budi Prayitno
We review the derivation as well as the free particle solution of nonlinear master Schrödinger equation. Even though this equation is founded by the Hamilton-Jacobi and continuity equations, the plane-wave solution does still exist for the free particle case. In addition, we will also formulate the gauge invariance form, which describes the electromagnetic interaction. In this case, the Hamilton-Jacobi equation should be modified while the continuity equation remains unchanged.
AIP conference proceedings•Jan 1, 2021•0 citations