Personal notes on quantum mechanics.
Schrödinger wave equation
Time independent
\[ \hat{H} \, \psi(r) = E \, \psi(r) \]
Time dependent
\[ \hat{H} \, \psi(r,t) = i \hbar \frac{\partial}{\partial t} \psi(r,t) \]
Operators
\[ \hat{H} = -\frac{\hbar^2}{2m} \nabla^2 + V \]
\[ \hat{p} = -i\hbar\nabla \]
References
[1]
Jim Baggott. 2020. The quantum cookbook. Oxford University Press.
[2]
Wounjhang Park. Foundations of quantum mechanics. Course on Coursera.
[3]
Leonard Susskind and Art Friedman. 2014. Quantum mechanics: The theoretical minimum. Basic Books.