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

Preprint
 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: 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 
Communications in Mathematical Physics 08/2015; 337(3). DOI:10.1007/s0022001522912

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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 
Article: Free Transmission Problems
Communications in Mathematical Physics 08/2015; 337(3). DOI:10.1007/s0022001522903 
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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 
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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?
Communications in Mathematical Physics 05/2015; DOI:10.1007/s0022001523896 
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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 
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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 
Article: Galperin’s Triangle Example
Communications in Mathematical Physics 05/2015; 335(3). DOI:10.1007/s0022001523366 
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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 
Communications in Mathematical Physics 04/2015; 335(2). DOI:10.1007/s0022001522899

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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 
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ABSTRACT: We establish global wellposedness and scattering for the cubic Dirac equation for small data in the critical space $H^1(\mathbb{R}^3)$. The main ingredient is obtaining a sharp endpoint Strichartz estimate for the KleinGordon equation. In a classical sense this fails and it is related to the failure of the endpoint Strichartz estimate for the wave equation in space dimension three. In this paper, systems of coordinate frames are constructed in which endpoint Strichartz estimates are recovered and energy estimates are established.Communications in Mathematical Physics 04/2015; 335(1). DOI:10.1007/s0022001421640 
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ABSTRACT: In the subject of cosmology, spatially homogeneous solutions are often used to model the universe. It is therefore of interest to ask what happens when perturbing into the spatially inhomogeneous regime. To this end, we, in the present paper, study the future asymptotics of solutions to Einstein’s vacuum equations in the case of \({\mathbb{T}^{2}}\) symmetry. It turns out that in this setting, whether the solution is spatially homogeneous or not can be characterized in terms of the asymptotics of one variable appearing in the equations; there is a monotonic function such that if its limit is finite, then the solution is spatially homogeneous and if the limit is infinite, then the solution is spatially inhomogeneous. In particular, regardless of how small the initial perturbation away from spatial homogeneity is, the resulting asymptotics are very different. Using spatially homogeneous solutions as models is therefore, in this class, hard to justify.Communications in Mathematical Physics 03/2015; 334(3). DOI:10.1007/s0022001422588 
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ABSTRACT: An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantum detailed balance condition. In this paper, we introduce a notion of entropy production for faithful normal invariant states of a quantum Markov semigroup on B(h) as a numerical index measuring “how far” they are from equilibrium. The entropy production rate is defined as the derivative of the relative entropy of the onestep forward and backward evolution, in analogy with the classical probabilistic concept. We prove an explicit trace formula expressing the entropy production rate in terms of the completely positive part of the generator of a norm continuous quantum Markov semigroup, showing that it turns out to be zero if and only if a standard quantum detailed balance condition holds.Communications in Mathematical Physics 02/2015; 335(2). DOI:10.1007/s0022001523201
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.