The discussion focuses on the separability of the time-dependent Schrödinger equation when the potential V depends solely on time and is uniform in space, expressed as V(t). The equation is represented as -\frac{\hbar^2}{2m}\frac{\partial^2\psi}{\partial x^2}=E\psi and i\hbar\frac{1}{\Theta}\frac{\partial \Theta}{\partial t}-V(t)=E. A participant identifies an algebra mistake in the solution attempt and emphasizes the need for a review of basic differential equation solving techniques.
PREREQUISITESStudents and researchers in quantum mechanics, particularly those studying the Schrödinger equation and its applications in physics and engineering.
Your work is fine up to here:NBaca said:Homework Statement
Show that the time-dependent Schrödinger equation is separable when V depends on time only and is uniform in space (i.e., V = V (t)).