Why do you need symmetric and antisymmetric solutions of the time-independent Schrödinger Equation by a given potential $V(x)$?
37069
Time-independent Schrödinger function: If the potential $V$ is even, then the wave function $\psi$ can always be taken to be either even or odd
117387
Can we safely assume $\Psi(x,t) = \psi(x)e^{-i\omega t}$ always in QM?
23089
Differences between symmetric, Hermitian, self-adjoint, and essentially self-adjoint operators
28062
Something special about energy eigenstates when it comes to time evolution?
128875
Expectation values of the position operator is equal to zero in case of even potentials?
13137
Why are Hermitian operators linked to observables?
67641
Why should field operators satisfy the classical equations of motion?
154508
The energy method for $u_{tt}-du_t-u_{xx}=0, (0,1)\times(0,T) $
57630
Second order homogeneous differential equations: why do repeated roots modify the solution set?
58072
The formal solution of the time-dependent Schrödinger equation
55188
Second order ODE - why the extra X for the solution?
118346
Normalizing the solution to free particle Schrödinger equation
124703
Where does the $i$ come from in the Schrödinger equation?
153941
Angular equation for Schrödinger's equation in 3D
59313
What symmetry causes the Runge-Lenz vector to be conserved?
137152
Free particle Schrodinger equation: propagator
36574
Does separation of variables in PDEs give a general solution?