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Quantum Transitions in a Parabolic Intersection |
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PP: 131-147 |
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doi:10.18576/qpl/060209
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Author(s) |
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Chieh-Lei Wong,
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Abstract |
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| In their seminal work (in 1932), Lev Landau and Clarence Zener derived a non-perturbative prediction for the transition
probability between the two energy states. This paper is dedicated to the coupled Schr¨odinger system :
¯h
i
dy(t)
dt
=
t2 −z2 2zt
2zt −t2 +z2
y(t) ,
and we aim to compute a local expansion of the transition coefficient a(z) in the adiabatic limit z→0. |
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