Results 11 to 20 of about 474,509 (137)

Semi-commuting and commuting operators for the Heun family

open access: yes, 2017
We derive the most general families of differential operators of first and second degree semi-commuting with the differential operators of the Heun class. Among these families we classify all those families commuting with the Heun class.
Batic, Davide   +2 more
core   +1 more source

Picard-Fuchs equations for Feynman integrals

open access: yes, 2013
We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resulting differential equation is of Fuchsian type. The method can be used within
Müller-Stach, Stefan   +2 more
core   +1 more source

Simultaneous eigenstates of the number-difference operator and a bilinear interaction Hamiltonian derived by solving a complex differential equation

open access: yes, 2005
As a continuum work of Bhaumik et al who derived the common eigenvector of the number-difference operator Q and pair-annihilation operator ab (J. Phys.
Erdèlyi A.   +3 more
core   +1 more source

Necessity of integral formalism

open access: yes, 2011
To describe the physical reality, there are two ways of constructing the dynamical equation of field, differential formalism and integral formalism. The importance of this fact is firstly emphasized by Yang in case of gauge field [Phys. Rev. Lett.
  +11 more
core   +1 more source

Discrete Darboux transformation for discrete polynomials of hypergeometric type

open access: yes, 1998
Darboux Transformation, well known in second order differential operator theory, is applied here to the difference equation satisfied by the discrete hypergeometric polynomials(Charlier, Meixner-Krawchuk, Hahn)
  +14 more
core   +1 more source

A continuous time tug-of-war game for parabolic $p(x,t)$-Laplace type equations

open access: yes, 2018
We formulate a stochastic differential game in continuous time that represents the unique viscosity solution to a terminal value problem for a parabolic partial differential equation involving the normalized $p(x,t)$-Laplace operator.
Heino, Joonas
core   +1 more source

Symmetries of linearized gravity from adjoint operators

open access: yes, 2019
Based on operator identities and their formal adjoints, we derive two symmetry operators for the linearized Einstein operator on vacuum backgrounds of Petrov type D and in particular the Kerr spacetime.
Aksteiner, Steffen, Bäckdahl, Thomas
core   +1 more source

Lattice Green Functions: the seven-dimensional face-centred cubic lattice

open access: yes, 2014
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long series for d =7.
Hassani, Saoud   +2 more
core   +3 more sources

Finite Domain Anomalous Spreading Consistent with First and Second Law

open access: yes, 2009
After reviewing the problematic behavior of some previously suggested finite interval spatial operators of the symmetric Riesz type, we create a wish list leading toward a new spatial operator suitable to use in the space-time fractional differential ...
Abate   +40 more
core   +1 more source

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