Article
A Class of Higher Landau-Zener -Type Problems
Authors
Abstract
We present a new class of time-dependent Hamiltonians for the Schrödinger equation :
$H_p(t) = \begin{pmatrix} \Re(t+iz)^p & \Im(t+iz)^p \\ \Im(t+iz)^p & -\Re(t+iz)^p \end{pmatrix}$ where $p \in \mathbb{N}^*$, and $z \ge 0$ is a scalar coupling parameter.
The purpose of this short paper is to overview some common properties to all $H_p$.
Keywords
Coupled Schrödinger equations, avoided level crossings, 2-state transition probabilities, asymptotic solutions
Citation
Wong, C. (2017). A class of higher landau-zener -type problems. Quantum Physics Letters, 6(2), 105–110. https://doi.org/10.18576/qpl/060205
C. Wong, “A class of higher landau-zener -type problems,” Quantum Physics Letters, vol. 6, no. 2, pp. 105–110, 2017, doi: 10.18576/qpl/060205.
Wong C. A class of higher landau-zener -type problems. Quantum Physics Letters. 2017;6(2):105–110. doi:10.18576/qpl/060205.
Wong, C. (2017), ‘A class of higher landau-zener -type problems’, Quantum Physics Letters, 6(2), pp. 105–110. Available at: https://doi.org/10.18576/qpl/060205.
Wong, Chieh-Lei. “A Class of Higher Landau-zener -type Problems.” Quantum Physics Letters, vol. 6, no. 2, 2017, pp. 105–110. https://doi.org/10.18576/qpl/060205.
Wong, Chieh-Lei. “A Class of Higher Landau-zener -type Problems.” Quantum Physics Letters 6, no. 2 (2017): 105–110. https://doi.org/10.18576/qpl/060205.
Export citation
Published by: Engineering Journals
