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- C. R. Hagen
- 2002

The second central extension of the planar Galilei group has been alleged to have its origin in the spin variable. This idea is explored here by considering local Galilean covariant field theory for free fields of arbitrary spin. It is shown that such systems generally display only a trivial realization of the second central extension. While it is possible… (More)

- C R Hagen
- 1993

Some recent work has attempted to show that the singular solutions which are known to occur in the Dirac description of spin-1/2 Aharonov-Bohm scattering can be eliminated by the inclusion of strongly repulsive potentials inside the flux tube. It is shown here that these calculations are generally unreliable since they necessarily require potentials which… (More)

- M E Bowers, C R Hagen
- 1998

The Casimir energy for a conducting spherical shell of radius a is computed using a direct mode summation approach. An essential ingredient is the implementation of a recently proposed method based on Cauchy's theorem for an evaluation of the eigenfrequencies of the system. It is shown, however, that this earlier calculation uses an improper set of modes to… (More)

The question as to whether neutron acceleration can occur in uniform electromagnetic fields is examined. Although such an effect has been predicted using the canonical equations of motion some doubt has been raised recently as to whether it is in principle observable for a spin 1/2 particle. To resolve this issue a gedanken experiment is proposed and… (More)

- C R Hagen
- 1995

The second virial coefficient B 2 (T) for particles which interact with each other through a Chern-Simons type coupling has been of considerable interest in recent years. In particular its form has been derived for both the spin zero [1] and spin-1/2 cases [2] as a function of the flux parameter α. More recently results have been obtained for the case of a… (More)

- C. R. Hagen
- 1997

A Galilean Chern-Simons field theory is formulated for the case of two interacting spin-1/2 fields of distinct masses M and M ′. A method for the construction of states containing N particles of mass M and N ′ particles of mass M ′ is given which is subsequently used to display equivalence to the spin-1/2 Aharonov-Bohm effect in the N = N ′ = 1 sector of… (More)

- C R Hagen
- 1994

The general theory of a massless fermion coupled to a massive vector meson in two dimensions is formulated and solved to obtain the complete set of Green's functions. Both vector and axial vector couplings are included. In addition to the boson mass and the two coupling constants, a coefficient which denotes a particular current definition is required for a… (More)

- C R Hagen
- 1994

A recent suggestion has been made that the hydrogen bound state spectrum should not depend on the number of spatial dimensions. It is pointed out here that the uncertainty principle implies that such differences must exist and that a perturbation expansion in the dimensionality parameter yields a precise quantitative confirmation of the effect.

- C R Hagen
- 1996

It has recently been suggested that an Aharonov-Bohm phase should be capable of detection using beams of neutral polarizable particles. A more careful analysis of the proposed experiment suffices to show, however, that it cannot be performed regardless of the strength of the external electric and magnetic fields. It has recently been suggested [1] that an… (More)

- C R Hagen, E C G Sudarshan
- 1993