Built on

J. C. C. A. Kneser Math. Ann
1907
Earlier work this paper cites.
A. J. W. Sommerfeld Jahresber. Deutsch. Mat. Ver
1912
Earlier work this paper cites.
E. L. Hill, “The theory of vector spherical harmonics,” American Journal of Physics
1954
Earlier work this paper cites.
I. N. Sneddon, “On some infinite series involving the zeros of bessel functions of the first kind,” Proceedings of the Glasgow Mathematical Association
1960
Earlier work this paper cites.
Dover, New York, fifth ed., 1964
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions · 1964
Earlier work this paper cites.
Cambridge University Press, 1966
G. N. Watson, A Treatise on the Theory of Bessel Functions · 1966
Earlier work this paper cites.
H. Hayashi, “Correction of the Kneser-Sommerfeld expansion formula,” J. Phys. Soc. Japan
1982
Earlier work this paper cites.
R. G. Barrera, G. A. Estevez, and J. Giraldo, “Vector spherical harmonics and their application to magnetostatics,” Eur.J.Phys
1985
Earlier work this paper cites.
Academic Press, New York, 5 ed., 1994
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products · 1994
Earlier work this paper cites.
J. R. Klauder, “Coherent state quantization of constraint systems,” Annals Phys
1997
Earlier work this paper cites.
J. Govaerts, “Projection operator approach to constrained systems,” J. Phys
1997
Earlier work this paper cites.
V. G. Vaccaro and L. Verolino, “Some remarks about the Kneser-Sommerfeld formula,” Il Nuovo Cimento
1998
Earlier work this paper cites.

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2015

Photons in a Ball

Mück, Wolfgang

Understand

The electromagnetic field inside a spherical cavity of large radius R is considered in the presence of stationary charge and current densities.

R provides infra-red regularization while maintaining gauge invariance.
The quantum ground state of physical photons forming the magnetic field is found to be a coherent state with a definite mean occupation number.
The electric field, which is determined by the Gauss law constraint, is maintained by a minimum uncertainty coherent state, according to the projection operator approach to the quantization of constrained systems.

Built on

J. C. C. A. Kneser Math. Ann
1907
Earlier work this paper cites.
A. J. W. Sommerfeld Jahresber. Deutsch. Mat. Ver
1912
Earlier work this paper cites.
E. L. Hill, “The theory of vector spherical harmonics,” American Journal of Physics
1954
Earlier work this paper cites.
I. N. Sneddon, “On some infinite series involving the zeros of bessel functions of the first kind,” Proceedings of the Glasgow Mathematical Association
1960
Earlier work this paper cites.
Dover, New York, fifth ed., 1964
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions · 1964
Earlier work this paper cites.
Cambridge University Press, 1966
G. N. Watson, A Treatise on the Theory of Bessel Functions · 1966
Earlier work this paper cites.
H. Hayashi, “Correction of the Kneser-Sommerfeld expansion formula,” J. Phys. Soc. Japan
1982
Earlier work this paper cites.
R. G. Barrera, G. A. Estevez, and J. Giraldo, “Vector spherical harmonics and their application to magnetostatics,” Eur.J.Phys
1985
Earlier work this paper cites.
Academic Press, New York, 5 ed., 1994
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products · 1994
Earlier work this paper cites.
J. R. Klauder, “Coherent state quantization of constraint systems,” Annals Phys
1997
Earlier work this paper cites.
J. Govaerts, “Projection operator approach to constrained systems,” J. Phys
1997
Earlier work this paper cites.
V. G. Vaccaro and L. Verolino, “Some remarks about the Kneser-Sommerfeld formula,” Il Nuovo Cimento
1998
Earlier work this paper cites.