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On the integrability of the wave propagator arising from the Liouville–von Neumann equation

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Abstract

The Liouville–von Neumann equation describes the change in the density matrix with time. Interestingly, this equation was recently regarded as a wave equation for wave functions but not as an equation for density functions. This setting leads to an extended form of the Schrödinger wave equation governing the motion of a quantum particle. In this paper, we obtain the integrability of the wave propagator arising from the Liouville–von Neumann equation in this setting.

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Authors and Affiliations

  1. Department of Mathematics Education, Kongju National University, Kongju, 32588, Republic of Korea

    Youngwoo Koh

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 16419, Republic of Korea

    Yoonjung Lee & Ihyeok Seo

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  1. Youngwoo Koh
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  2. Yoonjung Lee
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  3. Ihyeok Seo
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Correspondence to Ihyeok Seo.

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Y. Koh was supported by NRF-2019R1F1A1054310. I. Seo was supported by NRF-2019R1F1A1061316.

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Koh, Y., Lee, Y. & Seo, I. On the integrability of the wave propagator arising from the Liouville–von Neumann equation. Arch. Math. 116, 345–358 (2021). https://doi.org/10.1007/s00013-020-01556-y

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  • DOI: https://doi.org/10.1007/s00013-020-01556-y

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