Introduction to Quantum Mechanics/Chapter 1

From Jonathan Gardner's Physics Notebook
< Introduction to Quantum Mechanics
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Notes

The Schrodinger Wave Equation:

<math>i\hbar {\partial \Psi \over \partial t} = - {\hbar^2 \over 2m} {\partial^2 \Psi \over \partial x^2} + V \Psi</math>
  • <math>\Psi(x,t)</math>: The wave function, varies over position and time.
  • <math>i = \sqrt{-1}</math>
  • <math>\hbar = {h \over 2\pi} = 1.054573 \times 10^{-34}\ J\ s</math>, Planck's Constant.
  • <math>m</math>, mass of the particle.
  • <math>V(x,t)</math>, the potential.