Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation

Özlem Kaytmaz

doi:10.53570/jnt.1619953

EN

Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation

Abstract

This study focuses on an inverse problem for the quantum kinetic equations, the cornerstone of quantum mechanics. These equations describe the evolution of elementary particles under strong interactions. They are fundamental to understanding the behavior of quantum systems and play a pivotal role in describing nanostructure processes and nanodiagnostics. The main target of the problem is to determine the unknown source function on the right-hand side of the equation. This paper obtains a pointwise Carleman estimate. It then uses the Carleman estimate to show the uniqueness of the problem's solution.

Keywords

Quantum kinetic equation, inverse problem, uniqueness of the solution, pointwise Carleman estimate

Ethical Statement

No approval from the Board of Ethics is required.

References

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Details

Primary Language

English

Subjects

Theoretical and Applied Mechanics in Mathematics

Journal Section

Research Article

Authors

Özlem Kaytmaz ^*
0000-0003-0420-007X
Türkiye

Publication Date

March 28, 2025

Submission Date

January 15, 2025

Acceptance Date

March 12, 2025

Published in Issue

Year 2025 Number: 50

DOI

https://doi.org/10.53570/jnt.1619953

IZ

https://izlik.org/JA93XN88WG

APA

Kaytmaz, Ö. (2025). Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation. Journal of New Theory, 50, 1-8. https://doi.org/10.53570/jnt.1619953

AMA

1.Kaytmaz Ö. Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation. JNT. 2025;(50):1-8. doi:10.53570/jnt.1619953

Chicago

Kaytmaz, Özlem. 2025. “Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation”. Journal of New Theory, nos. 50: 1-8. https://doi.org/10.53570/jnt.1619953.

EndNote

Kaytmaz Ö (March 1, 2025) Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation. Journal of New Theory 50 1–8.

IEEE

[1]Ö. Kaytmaz, “Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation”, JNT, no. 50, pp. 1–8, Mar. 2025, doi: 10.53570/jnt.1619953.

ISNAD

Kaytmaz, Özlem. “Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation”. Journal of New Theory. 50 (March 1, 2025): 1-8. https://doi.org/10.53570/jnt.1619953.

JAMA

1.Kaytmaz Ö. Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation. JNT. 2025;:1–8.

MLA

Kaytmaz, Özlem. “Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation”. Journal of New Theory, no. 50, Mar. 2025, pp. 1-8, doi:10.53570/jnt.1619953.

Vancouver

1.Özlem Kaytmaz. Uniqueness of Solution of an Inverse Problem for the Quantum Kinetic Equation. JNT. 2025 Mar. 1;(50):1-8. doi:10.53570/jnt.1619953