Results 1 to 10 of about 4,641 (126)

On quantum and relativistic mechanical analogues in mean-field spin models [PDF]

Proceedings of the Royal Society A, 2014
Conceptual analogies among statistical mechanics and classical or quantum mechanics have often appeared in the literature. For classical two-body mean-field models, such an analogy is based on the identification between the free energy of Curie–Weiss ...
A. Barra, Andrea Di Lorenzo, F. Guerra, A. Moro   +3 more
semanticscholar   +1 more source

Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]

, 2004
A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions.
Abraham, Cartier, Cartier, Cartier, Dunkl, Duru, Dynkin, Elworthy, Feynman, Freidlin, Friedman, Glimm, Grosche, J. LaChapelle, Lachapelle, Sagan, Young   +16 more
core   +2 more sources

Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces [PDF]

, 1997
We use so-called energy-dependent Schrödinger operators to establish a link between special classes of solutions on N-component systems of evolution equations and finite dimensional Hamiltonian systems on the moduli spaces of Riemann surfaces.
Alber, Mark S., Luther, Gregory G., Marsden, Jerrold E.   +2 more
core   +1 more source

Lagrange Anchor for Bargmann-Wigner equations [PDF]

, 2013
A Poincare invariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s > 1/2 in four-dimensional Minkowski space.
D Lipkin, DB Fairlie, DS Kaparulin, DS Kaparulin, DS Kaparulin, LA Dickey, MA Vasiliev, MA Vasiliev, MA Vasiliev, R Penrose, S Anco, S Anco, S Anco, SL Lyakhovich, T Morgan, TWB Kibble, Y Kosmann-Schwarzbach   +16 more
core   +1 more source

Steve Smale and Geometric Mechanics [PDF]

, 1993
Thus, one can say-perhaps with only a slight danger of oversimplification- that reduction theory synthesises the work of Smale, Arnold (and their predecesors of course) into a bundle, with Smale as the base and Arnold as the fiber.
Marsden, Jerrold E.
core   +1 more source

Lie systems: theory, generalisations, and applications [PDF]

, 2011
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping: the ...
J. De Lucas, J. De Lucas, J. F. Cari ˜nena, J. F. Cariñena   +3 more
core   +1 more source

Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows

, 2020
We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G. Perelman's functionals and related entropic values are
Bubuianu, Laurenţiu, Vacaru, Sergiu I., Veliev, Elşen Veli   +2 more
core   +1 more source

Compatibility, multi-brackets and integrability of systems of PDEs [PDF]

, 2008
We establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators.
Kruglikov, Boris, Lychagin, Valentin
core   +2 more sources

Is "the theory of everything'' merely the ultimate ensemble theory? [PDF]

, 1998
We discuss some physical consequences of what might be called ``the ultimate ensemble theory'', where not only worlds corresponding to say different sets of initial data or different physical constants are considered equally real, but also worlds ruled ...
Albrecht, Asgeirsson, Balashov, Barrow, Barrow, Barrow, Barrow, Büchel, Carr, Carter, Chaitin, Coleman, Courant, Curry, Davies, Davies, Davies, Deser, Deutsch, Dorling, Eddington, Ehrenfest, Ehrenfest, Everett III, Feinberg, Freeman, Goodstein, Greenstein, Hawking, Hawking, Hilbert, Hoyle, Linde, Linde, Max Tegmark, Misner, Nielsen, Nielsen, Nozick, Penrose, Poincaré, Press, Robinson, Rucker, Schrödinger, Solomonoff, Tangherlini, Tegmark, Tegmark, Tegmark, Tipler, Vilenkin, Weinberg, Weinberg, Weyl, Wheeler, Wheeler, Whitrow, Wigner, Zeh, Zurek   +60 more
core   +2 more sources

Higher Spin Symmetries and Deformed Schr\"odinger Algebra in Conformal Mechanics

, 2018
The dynamical symmetries of $1+1$-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial De Alfaro-Fubini-Furlan, DFF, damping term) are investigated.
Toppan, Francesco, Valenzuela, Mauricio
core   +1 more source