Applications :: Math
Topology :: Math

JMP: Statistical Physics

Correlation inequalities for quantum spin systems with quenched centered disorder
Pierluigi Contucci and Joel L. Lebowitz It is shown that random quantum spin systems with centered disorder satisfy correlation inequalities previously proved [P. Contucci and J. Lebowitz, Ann. Henri Poincare 8, 1461 (2007)] in the classical case. Consequences include monotone approach of pressure and ground state energy to the thermodyna ... [J. Math. Phys. 51, 023302 (2010)] published Tue Feb 2, 2010.
Linear response characteristics in time-dependent subdiffusive fractional FokkerPlanck equations
Yan-Mei Kang and Yao-Lin Jiang For the time-dependent fractional FokkerPlanck equations (FFPE), obtained from the time-independent FFPE by directly replacing the time-independent external force with a time-modulated one, we investigate its response characteristics within linear response range based on a viewpoint of global pertur ... [J. Math. Phys. 51, 023301 (2010)] published Mon Feb 1, 2010.
On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces
A. Ghaffari, A. Alinejad, and M. Eshaghi Gordji In this paper, the stability of the general cubic-quartic functional equation, f(x+ky)+f(xky)=k(f(x+y)+f(xy))+2(1k)f(x)+[(kk)/4](f(2y)8f(y))+f-tilde(2x)16f-tilde(x), where f-tilde(x):=f(x)+f(x) in the setting of Menger probabilistic normed spaces, is proved. ... [J. Math. Phys. 50, 123301 (2009)] published Wed Dec 16, 2009.

JMP: Methods of Mathematical Physics

Mayer problem for quantum stochastic control
M. O. Ogundiran and E. O. Ayoola This paper is concerned with the value function for optimal quantum stochastic control. We established the Lipschitz continuity of the value function, which is inherent from the Lipschitz property of the set-valued map describing the quantum stochastic control. By using a feedback multivalued map, w ... [J. Math. Phys. 51, 023521 (2010)] published Thu Feb 4, 2010.
On a novel integrable generalization of the sine-Gordon equation
J. Lenells and A. S. Fokas We consider an integrable generalization of the sine-Gordon (sG) equation that was earlier derived by one of the authors using bi-Hamiltonian methods. This equation is related to the sG equation in the same way that the CamassaHolm equation is related to the Kortewegde Vries equation. In this paper ... [J. Math. Phys. 51, 023519 (2010)] published Wed Feb 3, 2010.
Inhomogeneous boundary value problem for Hartree-type equation
Li Ma and Pei Cao In this paper, we settle the problem for time-dependent Hartree equation with inhomogeneous boundary condition in a bounded smooth domain in [openface R]. A global existence and uniqueness result for H solution is derived. ... [J. Math. Phys. 51, 023516 (2010)] published Wed Feb 3, 2010.

 

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404 Celestial Mechanics Research - Links, animations, references, and a brief description of research into n-body problems.
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404 Clyde Davenport's Commutative Hypercomplex Mathematics - Summary and application as it relates to electromagnetic theory and special relativity.
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Dimensional Analysis - A simple review of the powerful technique of dimensional analysis.

Discrete Self-trapping Equation - A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.

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Inexplicable Secrets of Creation - Relationships between number theory and physics.

Intrinsic Localized Modes - Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.

Journal on Applied Clifford Algebra - Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emphasis en the applications to Physics.

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Klaus Brauer's Soliton Page - Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in PDF format on finding exact solutions to the KdV equation using the method of Backlund transform with the help of Mathematica.

Lectures on Orientifolds and Duality - Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.

Local Quantum Physics Crossroads - An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).

Mathematical Methods I - This site contains the complete lecture notes and homework sets for PHYCS498MMA, a course of mathematical methods for physics given to entering graduate students, and senior undergraduates, at the University of Illinois at Urbana-Champaign.

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Solitons - Resources at Heriot-Watt University. Meetings, local and other links.

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