{"title":"Derivation of the gauge-independent relation between the phase and the electric field","author_url":"https://blog.hatena.ne.jp/enakai00/","author_name":"enakai00","blog_title":"\u3081\u3082\u3081\u3082","categories":[],"image_url":null,"provider_name":"Hatena Blog","url":"https://enakai00.hatenablog.com/entry/2022/09/19/213054","published":"2022-09-19 21:30:54","version":"1.0","width":"100%","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fenakai00.hatenablog.com%2Fentry%2F2022%2F09%2F19%2F213054\" title=\"Derivation of the gauge-independent relation between the phase and the electric field - \u3081\u3082\u3081\u3082\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_url":"https://enakai00.hatenablog.com/","description":"The effective wavefunction and the charge current are given as: --- (3.4) ---(3.13)The wavefunction follows the Schr\u00f6dinger equation: --- (3.5)Without losing the generality, we can take the Coulomb gauge: --- (1)Now, we assume that the charge density is constant and uniform: In this case, the curren\u2026","type":"rich","provider_url":"https://hatena.blog"}