Communications in Mathematical Physics (COMMUN MATH PHYS)
Journal description
Subjects: Quantum physics and differential geometry; Flow equations, nonlinear PDE of mathematical physics; String theory, nonperturbative field theory and related topics; Field theory, mechanics and condensed matter; nonequilibrium and dynamical systems; General relativity, mathematical aspects of M/string theory, applications of differential geometry to physics; Field theory, constructive methods; statistical mechanics; Algebraic quantum field theory and related issues of operator algebras; Turbulence, disordered systems, and rigorous studies of field theory; Nonequilibrium statistical mechanics; Algebraic geometry in physics, mathematical aspects of string theory; Quantum information theory; Quantum chaos; Schrödinger operators and atomic physics; Statistical physics; Classical and quantum integrable systems, conformal field theory and related topics; Quantum dynamics and nonequilibrium statistical mechanics.
Current impact factor: 1.90
Impact Factor Rankings
2015 Impact Factor  Available summer 2015 

2013 / 2014 Impact Factor  1.901 
2012 Impact Factor  1.971 
2011 Impact Factor  1.941 
2010 Impact Factor  2 
2009 Impact Factor  2.067 
2008 Impact Factor  2.075 
2007 Impact Factor  2.07 
2006 Impact Factor  2.077 
2005 Impact Factor  2.007 
2004 Impact Factor  1.741 
2003 Impact Factor  1.65 
2002 Impact Factor  1.851 
2001 Impact Factor  1.729 
2000 Impact Factor  1.721 
1999 Impact Factor  1.537 
1998 Impact Factor  1.737 
1997 Impact Factor  1.651 
1996 Impact Factor  1.718 
1995 Impact Factor  1.936 
1994 Impact Factor  2.282 
1993 Impact Factor  2.055 
1992 Impact Factor  1.942 
Impact factor over time
Additional details
5year impact  2.01 

Cited halflife  0.00 
Immediacy index  0.63 
Eigenfactor  0.04 
Article influence  1.77 
Website  Communications in Mathematical Physics website 
Other titles  Communications in mathematical physics 
ISSN  00103616 
OCLC  1564493 
Material type  Periodical, Internet resource 
Document type  Journal / Magazine / Newspaper, Internet Resource 
Publisher details
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 Author can archive a preprint version
 Postprint
 Author can archive a postprint version
 Conditions
 Author's preprint on preprint servers such as arXiv.org
 Author's postprint on author's personal website immediately
 Author's postprint on any open access repository after 12 months after publication
 Publisher's version/PDF cannot be used
 Published source must be acknowledged
 Must link to publisher version
 Set phrase to accompany link to published version (see policy)
 Articles in some journals can be made Open Access on payment of additional charge
 Classification green
Publications in this journal
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ABSTRACT: We consider the C 1classification of gapped Hamiltonians introduced in Fannes et al. (Commun Math Phys 144:443–490, 1992) and Nachtergaele (Commun Math Phys 175:565–606, 1996) as parent Hamiltonians of translation invariant finitely correlated states. Within this family, we show that the number of edge modes, which is equal at the left and right edge, is the complete invariant. The construction proves that translation invariance of the ‘bulk’ ground state does not need to be broken to establish C 1equivalence, namely that the spin chain does not need to be blocked.Communications in Mathematical Physics 09/2015; 338(3). DOI:10.1007/s0022001523508  [Show abstract] [Hide abstract]
ABSTRACT: We establish a blowup rate of the NavierStokes equations subject to the nonslip boundary condition for a certain class of domains including bounded and exterior domains.Communications in Mathematical Physics 09/2015; 338(2). DOI:10.1007/s0022001523491  [Show abstract] [Hide abstract]
ABSTRACT: The local wellposedness for the Cauchy problem of a system of semirelativistic equations in one space dimension is shown in the Sobolev space H s of order s ≥ 0. We apply the standard contraction mapping theorem by using Bourgain type spaces X s,b . We also use an auxiliary space for the solution in L 2 = H 0. We give the global wellposedness by this conservation law and the argument of the persistence of regularity.Communications in Mathematical Physics 08/2015; 338(1). DOI:10.1007/s0022001523473  [Show abstract] [Hide abstract]
ABSTRACT: We study nonasymptotic fundamental limits for transmitting classical information over memoryless quantum channels, i.e. we investigate the amount of classical information that can be transmitted when a quantum channel is used a finite number of times and a fixed, nonvanishing average error is permissible. In this work we consider the classical capacity of quantum channels that are imageadditive, including all classical to quantum channels, as well as the product state capacity of arbitrary quantum channels. In both cases we show that the nonasymptotic fundamental limit admits a secondorder approximation that illustrates the speed at which the rate of optimal codes converges to the Holevo capacity as the blocklength tends to infinity. The behavior is governed by a new channel parameter, called channel dispersion, for which we provide a geometrical interpretation.Communications in Mathematical Physics 08/2015; 338(1). DOI:10.1007/s0022001523820  Communications in Mathematical Physics 08/2015; 337(3). DOI:10.1007/s0022001522912

Article: Free Transmission Problems
Communications in Mathematical Physics 08/2015; 337(3). DOI:10.1007/s0022001522903  [Show abstract] [Hide abstract]
ABSTRACT: In the independent electron approximation, the average (energy/charge/entropy) current flowing through a finite sample \({\mathcal{S}}\) connected to two electronic reservoirs can be computed by scattering theoretic arguments which lead to the famous Landauer–Büttiker formula. Another well known formula has been proposed by Thouless on the basis of a scaling argument. The Thouless formula relates the conductance of the sample to the width of the spectral bands of the infinite crystal obtained by periodic juxtaposition of \({\mathcal{S}}\) . In this spirit, we define Landauer–Büttiker crystalline currents by extending the Landauer–Büttiker formula to a setup where the sample \({\mathcal{S}}\) is replaced by a periodic structure whose unit cell is \({\mathcal{S}}\) . We argue that these crystalline currents are closely related to the Thouless currents. For example, the crystalline heat current is bounded above by the Thouless heat current, and this bound saturates iff the coupling between the reservoirs and the sample is reflectionless. Our analysis leads to a rigorous derivation of the Thouless formula from the first principles of quantum statistical mechanics.Communications in Mathematical Physics 08/2015; 338(1). DOI:10.1007/s0022001523210  [Show abstract] [Hide abstract]
ABSTRACT: Using the GriffithsSimon construction of the model and the lace expansion for the Ising model, we prove that, if the strength of nonlinearity is sufficiently small for a large class of shortrange models in dimensions d 〉 4, then the critical twopoint function is asymptotically times a modeldependent constant, and the critical point is estimated as , where is the massless point for the Gaussian model.Communications in Mathematical Physics 05/2015; 336(2). DOI:10.1007/s002200142256x 
Article: Can One Hear Whistler Waves?
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ABSTRACT: The aim of this article is to propose a mathematical framework giving access to a better understanding of whistlermode chorus emissions in space plasmas. There is a general agreement that the emissions of whistler waves involve a mechanism of waveparticle interaction that can be described in the framework of the relativistic VlasovMaxwell equations. In dimensionless variables, these equations involve a penalized skewsymmetric term where the inhomogeneity of the strong exterior magnetic field \({\tilde B_e(x)}\) plays an essential part. The description of the related phenomena is achieved in two stages. The first is based on a new approach allowing one to extend in longer times the classical insights on fast rotating fluids [Chemin et al. (Mathematical geophysics, volume 32 of Oxford Lecture Series in Mathematics and its Applications. The Clarendon Press Oxford UniversityPress, Oxford, 2006), Cheverry et al. (Duke Math J 161(5):845–892, 2012), Frénod and Sonnendrücker (Math Models Methods Appl Sci 10(4):539–553, 2000), Gallagher and SaintRaymond (SIAM J Math Anal 36(4):1159–1176, 2005)]; it justifies the existence and the validity of long time gyrokinetic equations; it furnishes criterions to impose on a magnetic field \({\tilde B_e(\cdot)}\) in order to obtain the long time dynamical confinement of plasmas. The second stage is based on a study of oscillatory integrals implying special phases; it deals with the problem of the creation of light inside plasmas.Communications in Mathematical Physics 05/2015; 338(2). DOI:10.1007/s0022001523896  [Show abstract] [Hide abstract]
ABSTRACT: We derive a local energy inequality for weak solutions of the three dimensional magnetohydrodynamic equations. Combining BiotSavart law, interpolation inequalities and the local energy inequality, we prove a partial regularity theorem for suitable weak solutions. Furthermore, we obtain an improved estimate for the logarithmic Hausdorff dimension of the singular set of suitable weak solutions.Communications in Mathematical Physics 05/2015; 336(1). DOI:10.1007/s002200152307y  [Show abstract] [Hide abstract]
ABSTRACT: The analysis of the \({\mathbb{Z}_2^{3}}\) LaplaceDunkl equation on the 2sphere is cast in the framework of the Racah problem for the Hopf algebra sl −1(2). The related DunklLaplace operator is shown to correspond to a quadratic expression in the total Casimir operator of the tensor product of three irreducible sl −1(2)modules. The operators commuting with the Dunkl Laplacian are seen to coincide with the intermediate Casimir operators and to realize a central extension of the BannaiIto (BI) algebra. Functions on S 2 spanning irreducible modules of the BI algebra are constructed and given explicitly in terms of Jacobi polynomials. The BI polynomials occur as expansion coefficients between two such bases composed of functions separated in different coordinate systems.Communications in Mathematical Physics 05/2015; 336(1). DOI:10.1007/s0022001422414  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we construct complete constant scalar curvature Kähler (cscK) metrics on the complement of the zero section in the total space of \({\mathcal{O}(1)^{\oplus2}}\) over \({\mathbb{P}^{1}}\) , which is biholomorphic to the smooth part of the cone C 0 in \({\mathbb{C}^{4}}\) defined by equation \({\Sigma_{i=1}^{4} w_{i}^{2}=0}\) . On its small resolution and its deformation, we also consider complete cscK metrics and find that if the cscK metrics are homogeneous, then they must be Ricciflat.Communications in Mathematical Physics 05/2015; 335(3). DOI:10.1007/s0022001523375 
Article: Galperin’s Triangle Example
Communications in Mathematical Physics 05/2015; 335(3). DOI:10.1007/s0022001523366  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we study the partial regularity of fractional NavierStokes equations in R3 x (0, infinity) with 3/4 < s < 1. We show that the suitable weak solution is regular away from a relatively closed singular set whose (54s)dimentional Hausdorff measure is zero. The result is a generalization of the partial regularity for the classical NavierStokes system in Caffarelli et al. (Commun Pure Appl Math 35: 771831, 1982).Communications in Mathematical Physics 04/2015; 335(2). DOI:10.1007/s0022001522899  [Show abstract] [Hide abstract]
ABSTRACT: We consider the Cauchy problem for the reduced Ostrovsky equation $$u_{tx} = u + \left(u^{3}\right)_{xx}$$ with real valued initial data \({u \left(0\right) = u_{0}}\) . We introduce the factorization for the free evolution group to prove the global existence of solutions. Also, we show that the large time asymptotics of solutions has a logarithmic correction in the phase comparing with the corresponding linear case.Communications in Mathematical Physics 04/2015; 335(2). DOI:10.1007/s0022001422227  Communications in Mathematical Physics 04/2015; 335(1):545546. DOI:10.1007/s002200152288x
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