New multisymplectic self-adjoint scheme and its composition scheme
Jiaxiang Cai, Yushun Wang, Bin Wang, and Bin Jiang In this paper, we investigate Euler-box scheme for Bridges' multisymplectic form of Maxwell's equations. A new multisymplectic scheme is derived for Maxwell's equations.
Extension of the Conley-Zehnder index, a product formula, and an
Maurice A. de Gosson and Serge M. de Gosson The aim of this paper is to express the Conley-Zehnder index of a symplectic path in terms of an index due to Leray and which has been studied by one of us in a previous work.
Uncertainty principle for Gabor systems and the Zak form
Wojciech Czaja and Jacek Zienkiewicz We show that if g[is-an-element-of]L[sup 2]([openface R]) is a generator of a Gabor orthonormal basis with the lattice [openface Z] x [openface Z], then its Zak form Z(g) satisfies
Endomorphisms on half-sided modular inclusions
Rolf Dyre Svegstrup In algebraic quantum field theory we consider nets of von Neumann algebras indexed over regions of the space time. Wiesbrock [Conformal quantum field theory and half-sided modular inclusions of von Neumann algebras,
Spectral theory of neutron port semigroups with partly
Mohammed Sbihi This paper deals with spectral properties of a class of neutron port equations involving partly elastic collision operators introduced by Larsen and Zweifel [J. Math. Phys. [bold 15], 19871997 (1974)].
Geometric equivalence of Clifford algebras
David M. Botman and William P. Joyce We motivate a notion of geometric equivalence that is not the usual notion of algebraic equivalence (or isomorphism of Clifford algebra). Using this definition tilting to the opposite metric is a
Shape invariance through Crum formation
Jose Orlando Organista, Marek Nowakowski, and HC Rosu We show in a rigorous way that Crum's result regarding the equal eigenvalue spectrum of Sturm-Liouville problems can be obtained iteratively by successive Darboux formations.
Quantum Stratonovich calculus and the quantum Wong-Zakai theorem
John Gough We extend the Ito-to-Stratonovich analysis or quantum stochastic differential equations, introduced by Gardiner and Collett for emission (creation), absorption (annihilation) processes, to include scattering (conservation)
On the structure of 2 + 1-dimensional commutative and
Jing Ping Wang We develop the symbolic representation method to derive the hierarchies of (2+1)-dimensional integrable equations from the scalar Lax operators and to study their properties globally. The method applies to both
Bayesian analog of Gleason's theorem
Thomas Marlow We introduce a novel notion of probability within quantum history theories and give a Gleasonesque proof for these assignments. This involves introducing a tentative novel axiom of probability. We also discuss how we are
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