An Introduction to Mesoscopic and Nanometer Scale Physics (PDF)
An Introduction to Mesoscopic and Nanometer Scale Physics (PDF)
An Introduction to Mesoscopic and Nanometer Scale Physics (PDF)
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Time evolution of quantum states<br />
Quantum mechanics tells us that solutions of Schrödinger’s equation with<br />
definite energy evolve in time according <strong>to</strong> the equation ψ(t) =ψ(0)e −iEt / h<br />
Consider a superposition of two states ψ 1 <strong>and</strong> ψ 2 . The time dependence<br />
is given by<br />
ψ(t) =ψ 1<br />
(t) +ψ 2<br />
(t) =ψ 1<br />
(0)e −iE 1t / h +ψ 2<br />
(0)e −iE 2t / h<br />
As a function of time, the particle will oscillate between the two<br />
eigenstates<br />
QuickTime <strong>and</strong> a<br />
Microsoft Video 1 decompressor<br />
are needed <strong>to</strong> see this picture.
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