Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Hagen, C. R."'
Autor:
Hagen, C. R.
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. Raising and lowering operators analogous to those of the one-dimensional
Externí odkaz:
http://arxiv.org/abs/1702.07659
Autor:
Friedmann, Tamar, Hagen, C. R.
Publikováno v:
J. Math. Phys. 56, 112101 (2015)
A famous pre-Newtonian formula for $\pi$ is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, including the physical three dimensions.
Comment: 4 pages; to ap
Comment: 4 pages; to ap
Externí odkaz:
http://arxiv.org/abs/1510.07813
Autor:
Hagen, C. R.
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 by a strong spin-orbit coupling term. It has yet to be extended success
Externí odkaz:
http://arxiv.org/abs/1409.5101
Autor:
Guralnik, G. S., Hagen, C. R.
According to a commonly held view of spontaneously broken symmetry in gauge theories, troublesome Nambu-Goldstone bosons are effectively eliminated by turning into longitudinal modes of a massive vector meson. This note shows that this is not in fact
Externí odkaz:
http://arxiv.org/abs/1401.6924
Autor:
Hagen, C. R.
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 readily emerge from an o(2,1) calculation of the energy levels employi
Externí odkaz:
http://arxiv.org/abs/1211.3971
Autor:
Friedmann, Tamar, Hagen, C. R.
Publikováno v:
J. Math. Phys. 53, 122102 (2012)
The spectrum of the square of the angular momentum in arbitrary dimensions is derived using only group theoretical techniques. This is accomplished by application of the Lie algebra of the noncompact group O(2,1).
Comment: 4 pages; to appear in
Comment: 4 pages; to appear in
Externí odkaz:
http://arxiv.org/abs/1211.1934
Autor:
Hagen, C. R.
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 the origin even when the relevant potential is singular at that point.<
Externí odkaz:
http://arxiv.org/abs/0709.0466
Autor:
Hagen, C. R.
The existence of a possible connection between spin and statistics is explored within the framework of Galilean covariant field theory. To this end fields of arbitrary spin are constructed and admissible interaction terms introduced. By explicitly so
Externí odkaz:
http://arxiv.org/abs/quant-ph/0403039
Autor:
Hagen, C. R.
Publikováno v:
Phys.Lett. A300 (2002) 591-594
In a recent work Brevik \emph{et al.} have offered formal proofs of two results which figure prominently in calculations of the Casimir pressure on a sphere. It is shown by means of simple counterexamples that each of those proofs is necessarily inco
Externí odkaz:
http://arxiv.org/abs/quant-ph/0206184
Autor:
Hagen, C. R.
Publikováno v:
Phys.Lett. B539 (2002) 168-171
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 suc
Externí odkaz:
http://arxiv.org/abs/quant-ph/0203109