Article
Quantum Transitions in a Parabolic Intersection
Authors
Abstract
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 Schrödinger system: $\\hbar i \\frac{d\\psi(t)}{dt} = \\begin{pmatrix} t^2 - z^2 & 2zt \\\\ 2zt & -t^2 + z^2 \\end{pmatrix} \\psi(t)$, and we aim to compute a local expansion of the transition coefficient $a(z)$ in the adiabatic limit $z \\to 0$.
Keywords
Schrödinger system, 2-state transition, Stokes geometry, phase-integral methods, asymptotic series, Heun triconfluent function
Citation
Wong, C. (2017). Quantum transitions in a parabolic intersection. Quantum Physics Letters, 6(2), 131–147. https://doi.org/10.18576/qpl/060209
C. Wong, “Quantum transitions in a parabolic intersection,” Quantum Physics Letters, vol. 6, no. 2, pp. 131–147, 2017, doi: 10.18576/qpl/060209.
Wong C. Quantum transitions in a parabolic intersection. Quantum Physics Letters. 2017;6(2):131–147. doi:10.18576/qpl/060209.
Wong, C. (2017), ‘Quantum transitions in a parabolic intersection’, Quantum Physics Letters, 6(2), pp. 131–147. Available at: https://doi.org/10.18576/qpl/060209.
Wong, Chieh-Lei. “Quantum Transitions in a Parabolic Intersection.” Quantum Physics Letters, vol. 6, no. 2, 2017, pp. 131–147. https://doi.org/10.18576/qpl/060209.
Wong, Chieh-Lei. “Quantum Transitions in a Parabolic Intersection.” Quantum Physics Letters 6, no. 2 (2017): 131–147. https://doi.org/10.18576/qpl/060209.
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Published by: Engineering Journals
