50 citations · 275 across the 29 of their papers we have counts for
29 papers
Group theory, coherent states, and the N-dimensional oscillator
C. R. Hagen
The isotropic harmonic oscillator in N dimensions is shown to have an underlying symmetry group O(2,1)X O(N)which implies a unique result for the energy spectrum of the system. Rai…
Quantum Mechanical Derivation of the Wallis Formula for
Tamar Friedmann, C. R. Hagen
A famous pre-Newtonian formula for is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, i…
Arbitrary Spin Galilean Oscillator
C. R. Hagen
The so-called Dirac oscillator was proposed as a modification of the free Dirac equation which reproduces many of the properties of the simple harmonic oscillator but accompanied b…
Where Have All the Goldstone Bosons Gone?
G. S. Guralnik, C. R. Hagen
According to a commonly held view of spontaneously broken symmetry in gauge theories, troublesome Nambu-Goldstone bosons are effectively eliminated by turning into longitudinal mod…
Group-Theoretical Derivation of Aharonov-Bohm Phase Shifts
C. R. Hagen
The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrodinger equation. It is shown here that they…
Comment on "Relativistic Aharonov-Bohm effect in the presence of planar Coulomb potentials"
C. R. Hagen
It is shown that the principal results of a recent work by Khalilov are incorrect. These errors are attributable to the author's insistence that wave functions must be regular at t…