Cover Image

SELF-ADJOINTNESS, CONFINEMENT AND THE CASIMIR EFFECT

Yu. A. Sitenko, V. M. Gorkavenko

DOI Number
10.2298/FUPCT1603319S
First page
319
Last page
335

Abstract

An influence of a classical magnetic field on the vacuum of the quantized charged spinor matter field confined between two parallel material plates is studied. In the case of the uniform magnetic field transverse to the plates, the Casimir effect is shown to be repulsive, independently of a choice of boundary conditions and of a distance between the plates.


Keywords

magnetic field, Casimir effect, vacuum, spinor matter

Full Text:

PDF

References

H. B. G. Casimir: Proc. Kon. Ned. Akad. Wetenschap B 51 (1948) 793.

M. Bordag, G. L. Klimchitskaya, U. Mohideen and V. M. Mostepanenko: Advances in the Casimir Effect. Oxford University Press, Oxford, 2009.

N. I. Akhiezer and I. M. Glazman: Theory of Linear Operators in Hilbert Space. Pitman, Boston, 1981.

P. N. Bogolioubov, Ann. Inst. Henri Poincare A 8, (1968) 163.

A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn and V. Weisskopf: Phys. Rev. D 9 (1974) 3471.

K. Johnson: Acta Phys. Polon. B 6 (1975) 865.

A. R. Akhmerov and C. W. J. Beenakker: Phys. Rev. B 77, (2008) 085423.

M. H. Al-Hashimi and U. J. Wiese: Annals Phys. 327 (2012) 1.

Yu. A. Sitenko: Phys. Rev. D 91 (2015) 085012.

W. Heisenberg and H. Euler: Z. Phys. 98 (1936) 714.

J. Schwinger: Phys. Rev. 82 (1951) 662.

A. K. Harding and D. Lai: Rep. Progr. Phys. 69 (2006) 2631.

B. D. Metzger, D. Giannios, T. A. Thompson, N. Bucciantini and E. Quataert: Mon. Not. Roy. Astron. Soc. 413 (2011) 2031.

J. A. A. J. Perenboom, J. C. Maan, M. R. van Breukelen, S. A. J. Wiegers, A. den Ouden, C. A. Wulfers, W. J. van der Zande, R. T. Jongma, A. F. G. van der Meer and B. Redlich: J. Low Temp. Phys. 170 (2013) 520.




DOI: http://dx.doi.org/10.2298/fu%20pct.v14i3.2602

Refbacks

  • There are currently no refbacks.


ISSN 0354-4656 (print)

ISSN 2406-0879 (online)