# Communications in Mathematical Physics (COMMUN MATH PHYS)

Publisher: Springer Verlag

## 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.

## Impact Factor Rankings

2015 Impact Factor Available summer 2015 1.901 1.971 1.941 2 2.067 2.075 2.07 2.077 2.007 1.741 1.65 1.851 1.729 1.721 1.537 1.737 1.651 1.718 1.936 2.282 2.055 1.942

## Impact factor over time

Impact factor
.
Year

5-year impact 2.01 0.00 0.63 0.04 1.77 Communications in Mathematical Physics website Communications in mathematical physics 0010-3616 1564493 Periodical, Internet resource Journal / Magazine / Newspaper, Internet Resource

## Publisher details

• Pre-print
• Author can archive a pre-print version
• Post-print
• Author can archive a post-print version
• Conditions
• Author's pre-print on pre-print servers such as arXiv.org
• Author's post-print on author's personal website immediately
• Author's post-print 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

• ##### Article: Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations
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ABSTRACT: The local well-posedness 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 well-posedness by this conservation law and the argument of the persistence of regularity.
Communications in Mathematical Physics 08/2015; 338(1). DOI:10.1007/s00220-015-2347-3
• ##### Article: Time Decay of Scaling Invariant Electromagnetic Schrödinger Equations on the Plane
Communications in Mathematical Physics 08/2015; 337(3). DOI:10.1007/s00220-015-2291-2
• ##### Article: Second-Order Asymptotics for the Classical Capacity of Image-Additive Quantum Channels
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ABSTRACT: We study non-asymptotic 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, non-vanishing average error is permissible. In this work we consider the classical capacity of quantum channels that are image-additive, including all classical to quantum channels, as well as the product state capacity of arbitrary quantum channels. In both cases we show that the non-asymptotic fundamental limit admits a second-order 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/s00220-015-2382-0
• ##### Article: Free Transmission Problems
Communications in Mathematical Physics 08/2015; 337(3). DOI:10.1007/s00220-015-2290-3
• ##### Article: Landauer–Büttiker and Thouless Conductance
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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/s00220-015-2321-0
• ##### Article: Application of the Lace Expansion to the Model
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ABSTRACT: Using the Griffiths-Simon 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 short-range models in dimensions d 〉 4, then the critical two-point function is asymptotically times a model-dependent 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/s00220-014-2256-x
• ##### Article: Can One Hear Whistler Waves?
Communications in Mathematical Physics 05/2015; DOI:10.1007/s00220-015-2389-6
• ##### Article: Hausdorff Measure of the Singular Set in the Incompressible Magnetohydrodynamic Equations
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ABSTRACT: We derive a local energy inequality for weak solutions of the three dimensional magnetohydrodynamic equations. Combining Biot-Savart 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/s00220-015-2307-y
• ##### Article: A Laplace-Dunkl Equation on S 2 and the Bannai–Ito Algebra
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ABSTRACT: The analysis of the $${\mathbb{Z}_2^{3}}$$ Laplace-Dunkl equation on the 2-sphere is cast in the framework of the Racah problem for the Hopf algebra sl −1(2). The related Dunkl-Laplace 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 Bannai-Ito (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/s00220-014-2241-4
• ##### Article: Galperin’s Triangle Example
Communications in Mathematical Physics 05/2015; 335(3). DOI:10.1007/s00220-015-2336-6
• ##### Article: Complete cscK Metrics on the Local Models of the Conifold Transition
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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 Ricci-flat.
Communications in Mathematical Physics 05/2015; 335(3). DOI:10.1007/s00220-015-2337-5
• ##### Article: Partial Regularity of Suitable Weak Solutions to the Fractional Navier–Stokes Equations
Communications in Mathematical Physics 04/2015; 335(2). DOI:10.1007/s00220-015-2289-9
• ##### Article: Large Time Asymptotics for the Reduced Ostrovsky Equation
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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/s00220-014-2222-7
• ##### Article: The Cubic Dirac Equation: Small Initial Data in {H^1(\mathbb{R}^3)}
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ABSTRACT: We establish global well-posedness 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 end-point Strichartz estimate for the Klein-Gordon 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/s00220-014-2164-0
• ##### Article: Instability of Spatially Homogeneous Solutions in the Class of $${\mathbb{T}^{2}}$$ T 2 -Symmetric Solutions to Einstein’s Vacuum Equations
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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/s00220-014-2258-8
• ##### Article: Entropy Production for Quantum Markov Semigroups
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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 one-step 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/s00220-015-2320-1