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Quantum tunneling (view source)
Revision as of 16:29, September 21, 2016
, 16:29, September 21, 2016Fixed small maths error
<math>
<math>
\frac{d^2 \psi}{dx^2} = -k_0 \psi
\frac{d^2 \psi}{dx^2} = -k^2_0 \psi
</math>
</math>
<math>
<math>
\frac{d^2 \psi}{dx^2} = -k_1 \psi
\frac{d^2 \psi}{dx^2} = -k^2_1 \psi
</math>
</math>
This section has advanced mathematical concepts such as [[complex numbers]] and [[hyperbolic trigonometric functions]].
This section has advanced mathematical concepts such as [[complex numbers]] and [[hyperbolic trigonometric functions]].
First, We start from the split wavefunction above, remembering that we have already shown <math>F=0</math>. Then the continuity conditions of a wavefunction (the wavefunction and its first derivative must be continuous) to find four simultaneous equations:
First, We start from the split wavefunction above, remembering that we have already shown <math>F=0</math>. Then the continuity conditions of a wavefunction (the wavefunction and its first derivative must be continuous) to find four simultaneous equations:
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