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The_Cambridge_Handbook_of_Physics_Formulas

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94 Quantum physics<br />

Barrier tunnelling a<br />

incident particle<br />

V (x)<br />

V 0<br />

i ii iii<br />

Potential<br />

function<br />

Wavenumber<br />

and tunnelling<br />

constant<br />

Amplitude<br />

reflection<br />

coefficient<br />

Amplitude<br />

transmission<br />

coefficient<br />

Tunnelling<br />

probability<br />

V (x)=<br />

{<br />

0 (|x| >a)<br />

V 0 (|x|≤a)<br />

−a<br />

0 a x<br />

(4.55)<br />

¯h 2 k 2 =2mE (|x| >a) (4.56)<br />

¯h 2 κ 2 =2m(V 0 −E) (|x|

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