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George Keeling replied to the thread Undergrad Klein-Gordon equation in the nonrelativistic limit.Oh yes. I quickly get to $$i\hbar\frac{\partial\psi}{\partial t}=-\frac{\hbar^2}{2m_0}\nabla^2\psi+m_0c^2\psi$$Which is the Schrödinger... -
George Keeling reacted to JimWhoKnew's post in the thread Undergrad Klein-Gordon equation in the nonrelativistic limit with
Informative.
Try to back-substitute$$\phi=\psi\exp{\left[\frac{i}{\hbar}m_0c^2t\right]}$$in equation 1.32 . What equation does ##\psi## obey in this... -
George Keeling posted the thread Undergrad Klein-Gordon equation in the nonrelativistic limit in Quantum Physics.I am reading Relativistic Quantum Mechanics Wave Equations, 3rd ed. - W. Greiner and I'm on section 1.3 looking at a solution ##\psi##...