REFERENCES
1.
H.
Galić
, “Fun and frustration with hydrogen in a dimension
,” Am. J. Phys.
56
, 312
–317
(1988
).2.
A. Z.
Capri
and R.
Ferrari
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,” Can. J. Phys.
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(1985
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Since (1) is also the solution of the static massless Klein–Gordon equation with a point source in dimension, namely, and thus represents the massless [Lorentz] scalar field, say, due to a point quark. The reader may compare it with the solution of the static massive Klein–Gordon equation with a point source in dimension, namely, given on pp. 8 and 9 of J. J. Sakurai, Advanced Quantum Mechanics (Addison–Wesley, Reading, MA, 1967).
4.
R.
Jackiw
and C.
Rebbi
, “Solitons with fermion number 1/2
,” Phys. Rev. D
13
, 3398
–3409
(1976
);R.
Jackiw
and J. R.
Schrieffer
, “Solitons with fermion number 1/2 in condensed matter and relativistic field theories
,” Nucl. Phys. B
190
, 253
–265
(1981
).5.
It would be interesting to derive this result analytically. But that is as of now an open problem. It is hoped that this short note may stimulate students and teachers alike to try to obtain an analytic proof.
6.
However, we must mention here for the sake of completeness that field theoretic models in a dimension have been constructed, wherein one obtains a meson spectrum;
see, for example,
G.
’t Hooft
, “A two-dimensional model for mesons
,” Nucl. Phys. B
75
, 461
–470
(1974
).
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© 2001 American Association of Physics Teachers.
2001
American Association of Physics Teachers
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