Applied Supersymmetry

  • V.P. Berezovoj Akhiezer Institute for Theoretical Physics of NSC KIPT, Kharkiv, Ukraine
  • A.J. Nurmagambetov Akhiezer Institute for Theoretical Physics of NSC KIPT, Kharkiv, Ukraine; V.N. Karazin Kharkiv National University, Kharkiv, Ukraine; Usikov Institute of Radiophysics and Electronics, Kharkiv, Ukraine https://orcid.org/0000-0001-5175-5997
Keywords: Supersymmetric Quantum Mechanics, Isospectrality, Exactly-solvable models

Abstract

Supersymmetry is one of the most important and indispensable ingredients of modern theoretical physics. However, the absence, at least at the time of publishing this review, of experimental verification of supersymmetry in elementary particle/high-energy physics casts doubt on the viability of this concept at the energies achievable at the LHC. The more unexpected are either already experimentally verified or proposed for verification manifestations of supersymmetry at the level of low (condensed matter physics, quantum optics) and medium (nuclear physics) energies where standard quantum mechanics works. Using examples of various systems from completely different areas of physics, we discuss the isospectrality of quantum Hamiltonians, hidden and explicit supersymmetry, the advantages of the supersymmetric quantum mechanics approach and its role in quantum engineering.

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Published
2025-06-09
Cited
How to Cite
Berezovoj, V., & Nurmagambetov, A. (2025). Applied Supersymmetry. East European Journal of Physics, (2), 4-16. https://doi.org/10.26565/2312-4334-2025-2-01