journal article·2025-07-01Open access

When mathematics helps physics: Calculation of the integral of Kholodenko and Silagadze

D. Beck

AIP Advances· Volume 15· Issue 7

Abstract

In this paper, we show a physics-free derivation of a Landau–Zener type integral introduced by Kholodenko and Silagadze.
Only a short abstract or summary was supplied by the source.
Source: crossref · Quality: short

Research context

OpenAlex topics: advanced mathematical theories · Differential Equations and Boundary Problems · Mathematical and Theoretical Analysis

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Affiliations

Charles University, Faculty of Mathematics and Physics , Prague, Czechia

Funding

Grantová Agentura, Univerzita Karlova

References (7)

Show source-provided references
1. When physics helps mathematics: Calculation of the sophisticated multiple integral10.1134/s1063779612060068 ↗
2. M. Piquer i Méndez , “The adiabatic theorem and the Landau–Zener model,” B.Sc. thesis, Universitat de Barcelona, Advisor: Josep Taron Roca, 2023.
3. A. G. Rojo , “Matrix exponential solution of the Landau–Zener problem,” arXiv:1004.2914 (2010).
4. The Landau–Zener formula made simple10.1088/1361-6455/acc774 ↗
5. 2013
6. 2015
7. J. A. d. Reyna , “Cancellations in power series of sine type,” arXiv:1505.00440 (2015).