Difference between revisions of "Introduction to Quantum Mechanics/Chapter 1"
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* <math>m</math>, mass of the particle. | * <math>m</math>, mass of the particle. | ||
* <math>V(x,t)</math>, the potential. | * <math>V(x,t)</math>, the potential. | ||
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| + | This is probably the first time you're seeing something like this, so don't let it overhwelm you. | ||
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| + | The wave function itself is somewhat meaningless. We'll talk about how we can get physical things we are familiar with, like position and momentum, out of it. | ||
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| + | This is a second-order differential equation. They are not trivial to solve, particular for non-trivial V. | ||
Revision as of 16:12, 3 May 2012
Introduction to Quantum Mechanics
- Part I: Theory
- Part II: Applications
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.
This is probably the first time you're seeing something like this, so don't let it overhwelm you.
The wave function itself is somewhat meaningless. We'll talk about how we can get physical things we are familiar with, like position and momentum, out of it.
This is a second-order differential equation. They are not trivial to solve, particular for non-trivial V.
