Journal of Mathematical Physics ~ Vol. 50, No. 5, May 2009
by: American Institute of Physics
en | American Institute of Physics
733 Pages
Focus and Coverage
Journal of Mathematical Physics is published by the American Institute of Physics; content is published online daily, collected into monthly online and printed issues (12 issues per year). Its purpose is the publication of papers in mathematical physics–that is, the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories. The mathematics should be written in a manner that is understandable to theoretical physicists. Occasionally, reviews of mathematical subjects relevant to physics and special issues combining papers on a topic of current interest may be published.
Journal of Mathematical Physics welcomes original research of the highest quality in all active areas of mathematical physics, including the following:
Classical Mechanics Percolation Models Conformal Field Theory Quantum Chaos Dynamical Systems Quantum Computing Electromagnetic Theory (mathematical aspects) Quantum Field Theory (algebraic and constructive) Ergodic Theory Quantum Mechanics
Fluid Mechanics (Navier–Stokes equations, models of turbulence)
Renormalization Gauge Field Theory Scattering Theory (classical and quantum) General Relativity Schrödinger Equation (mathematical properties) Gravitation Theory (classical and quantum) Semiclassical Analysis KAM Theory (stability and chaos) Spectral Theory Kinetic Theory Statistical Mechanics (equilibrium and nonequilibrium) Many-Body Theory String and Brane Theory Mathematical Methods in Condensed Matter Physics Symmetries Methods in Mathematical Physics Symplectic Dynamics Nonlinear Partial Differential Equations in Mathematical Physics Supersymmetry
Thomson Reuters's Journal Citation Data*:
2007 Impact Factor = 1.137
2007 Immediacy Index = 0.312
2007 Cited Half-Life = >10.0
EDITORIALS
Editorial: Journal of Mathematical Physics turns 50
Bruno L. Z. Nachtergaele
J. Math. Phys. 50, 050401 (2009) (2 pages)
Online Publication Date: 8 May 2009
Full Text: PDF (39 kB)
Abstract Unavailable
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Show PACS
01.10.Cr
QUANTUM MECHANICS (GENERAL AND NONRELATIVISTIC)
The need for a flat higher gauge structure to describe a Berry phase associated with some resonance phenomena
David Viennot
J. Math. Phys. 50, 052101 (2009) (15 pages)
Online Publication Date: 1 May 2009
Full Text: PDF (235 kB)
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In the presence of a resonance crossing producing splitting of the base manifold (for example, a circle crossing in a plane), we show that the rigorous geometrical structure within which the Berry phase arises may be a 2-bundle (a structure related to gerbes and to category theory) rather than a fiber bundle. The Bloch wave operator plays an important role in the associated theory.
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Show PACS
03.65.Ta, 03.65.Vf, 02.40.-k
On the algebra of quantum observables for a certain gauge model
G. Rudolph and M. Schmidt
J. Math. Phys. 50, 052102 (2009) (23 pages)
Online Publication Date: 8 May 2009
Full Text: PDF (399 kB)
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We prove that the algebra of observables of a certain gauge model is generated by unbounded elements in the sense of Woronowicz. The generators are constructed from the classical generators of invariant polynomials by means of geometric quantization.
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11.15.Tk, 02.10.De, 11.10.Cd, 02.40.-k, 11.15.Ha
Tensor coordinates in noncommutative mechanics
Ricardo Amorim
J. Math. Phys. 50, 052103 (2009) (7 pages)
Online Publication Date: 11 May 2009
Full Text: PDF (99 kB)
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A consistent classical mechanics formulation is presented in such a way that, under quantization, it gives a noncommutative quantum theory with interesting new features. The Dirac formalism for constrained Hamiltonian systems is strongly used, and the object of noncommutativity ij plays a fundamental rule as an independent quantity. The presented classical theory, as its quantum counterpart, is naturally invariant under the rotation group SO(D).
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03.65.Fd, 45.05. x, 02.10.Ud
Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics
H. Fakhri and A. Dehghani
J. Math. Phys. 50, 052104 (2009) (16 pages)
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