Journal of Mathematical Physics (J MATH PHYS )
Description
Journal of Mathematical Physics is published monthly by the American Institute of Physics. Its purpose is the publication of papers in mathematical physics ñ 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.
Impact factor 1.18
 Hide impact factor historyImpact factorYear
 5year impact1.28
 Cited halflife0.00
 Immediacy index0.29
 Eigenfactor0.03
 Article influence0.72
 WebsiteJournal of Mathematical Physics website
 Other titlesJournal of mathematical physics
 ISSN00222488
 OCLC1800258
 Material typePeriodical, Internet resource
 Document typeJournal / Magazine / Newspaper, Internet Resource
Publisher details
 Preprint
 Author can archive a preprint version
 Postprint
 Author can archive a postprint version
 Conditions
 Publishers version/PDF may be used on author's personal website or institutional website
 Authors own version of final article on eprint servers
 Must link to publisher version or journal home page
 Publisher copyright and source must be acknowledged
 NIHfunded articles are automatically deposited with PubMed Central with open access after 12 months
 For Medical Physics see AAPM policy
 This policy does not apply to Physics Today
 Publisher last contacted on 27/09/2013
 Classification green
Publications in this journal

Article: Solution of coupled integral equations for quantum scattering in the presence of complex potentials
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ABSTRACT: In this paper, we present a method to compute solutions of coupled integral equations for quantum scattering problems in the presence of a complex potential. We show how the elastic and absorption cross sections can be obtained from the numerical solution of these equations in the asymptotic region at large radial distances.Journal of Mathematical Physics 01/2015; 56(1):012104.  [Show abstract] [Hide abstract]
ABSTRACT: We investigate the connection between singular WeylTitchmarshKodaira theory and the double commutation method for onedimensional Dirac operators. In particular, we compute the singular Weyl function of the commuted operator in terms of the data from the original operator. These results are then applied to radial Dirac operators in order to show that the singular Weyl function of such an operator belongs to a generalized Nevanlinna class $N_{\kappa_0}$ with $\kappa_0=\lfloor\kappa + \frac{1}{2}\rfloor$, where $\kappa\in \mathbb{R}$ is the corresponding angular momentum.Journal of Mathematical Physics 01/2015; 56(1):012102.  [Show abstract] [Hide abstract]
ABSTRACT: The affine Weyl groups with their corresponding four types of orbit functions are considered. Two independent admissible shifts, which preserve the symmetries of the weight and the dual weight lattices, are classified. Finite subsets of the shifted weight and the shifted dual weight lattices, which serve as a sampling grid and a set of labels of the orbit functions, respectively, are introduced. The complete sets of discretely orthogonal orbit functions over the sampling grids are found and the corresponding discrete Fourier transforms are formulated. The eight standard onedimensional discrete cosine and sine transforms form special cases of the presented transforms.Journal of Mathematical Physics 11/2014; 55(11).  [Show abstract] [Hide abstract]
ABSTRACT: In this paper we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the harmonic potential and that the analytic solution develops a singularity in finite time. We also show that for a large class of solutions of the Schr\"odinger equation, superoscillating behavior at any given time implies superoscillating behavior at any other time.Journal of Mathematical Physics 11/2014; 55(11). 
Article: Relativistic Bessel Cylinders
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ABSTRACT: A set of cylindrical solutions to Einstein's field equations for power law densities is described. The solutions have a Bessel function contribution to the metric. For matter cylinders regular on axis, the first two solutions are the constant density GottHiscock string and a cylinder with a metric Airy function. All members of this family have the Vilenkin limit to their mass per length. Some examples of Bessel shells and Bessel motion are given.Journal of Mathematical Physics 11/2014; 55(10).  [Show abstract] [Hide abstract]
ABSTRACT: Knots are commonly found in molecular chains such as DNA and proteins, and they have been considered to be useful models for structural analysis of these molecules. One interested quantity is the minimum number of monomers necessary to realize a molecular knot. The minimum lattice length $\mbox{Len}(K)$ of a knot $K$ indicates the minimum length necessary to construct $K$ in the cubic lattice. Another important quantity in physical knot theory is the ropelength which is one of knot energies measuring the complexity of knot conformation. The minimum ropelength $\mbox{Rop}(K)$ is the minimum length of an ideally flexible rope necessary to tie a given knot $K$. Much effort has been invested in the research project for finding upper bounds on both quantities in terms of the minimum crossing number $c(K)$ of the knot. It is known that $\mbox{Len}(K)$ and $\mbox{Rop}(K)$ lie between $\mbox{O}(c(K)^{\frac{3}{4}})$ and $\mbox{O}(c(K) [\ln (c(K))]^5)$, but unknown yet whether any family of knots has superlinear growth. In this paper, we focus on 2bridge knots and links. Linear growth upper bounds on the minimum lattice length and minimum ropelength for nontrivial 2bridge knots or links are presented: $\mbox{Len}(K) \leq 8 c(K) + 2$. $\mbox{Rop}(K) \leq 11.39 c(K) + 12.37$.Journal of Mathematical Physics 11/2014; 55(11).
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.