Proceedings of the Japan Academy, Series A, Mathematical Sciences

Aharonov–Bohm effect in resonances for scattering by three solenoids

Hideo Tamura

Full-text: Open access

Abstract

We study how the Aharonov–Bohm effect is reflected in the location of quantum resonances for scattering by three solenoids at large separation. We also discuss what happens in the case of four solenoids.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 91, Number 4 (2015), 45-49.

Dates
First available in Project Euclid: 31 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.pja/1427806769

Digital Object Identifier
doi:10.3792/pjaa.91.45

Mathematical Reviews number (MathSciNet)
MR3327327

Zentralblatt MATH identifier
1317.81246

Subjects
Primary: 81U05: $2$-body potential scattering theory [See also 34E20 for WKB methods]
Secondary: 47A40: Scattering theory [See also 34L25, 35P25, 37K15, 58J50, 81Uxx] 81Q10: Selfadjoint operator theory in quantum theory, including spectral analysis

Keywords
Aharonov–Bohm effect magnetic Schrödinger operators quantum resonances scattering by solenoids

Citation

Tamura, Hideo. Aharonov–Bohm effect in resonances for scattering by three solenoids. Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), no. 4, 45--49. doi:10.3792/pjaa.91.45. https://projecteuclid.org/euclid.pja/1427806769


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References

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