![]() ![]() One can find these stationary-state wavefunctions using a method called separation of variables. In Quantum Mechanics, they are called stationary-state wavefunctions. )()(),( txtx ξψ=ψ These product functions are called separable solutions of the partial differential equation (PDE). One way to solve the TDSE is to seek solutions that have a particularly simple form, i.e. We have seen one example of this complexity before: The Gaussian free-particle state function is a combination of spatial and time-dependent factors. As a consequence, the space and time dependence of the wavefunction may be very complicated. ![]() The underlying problem is not just that it is a partial differential equation of second order in x and first order in t, but that we must consider both of these variables at once. TIME-INDEPENDENT SCHRÖDINGER EQUATION The solution of the TDSE is a rather formidable problem even in 1D. Download Time Independent Schrodinger Equation - Lecture Notes | EEE 352 and more Study notes Electrical and Electronics Engineering in PDF only on Docsity! 4. ![]()
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