Results 41 to 50 of about 393,149 (150)
Hardy's uncertainty principle for Schrödinger equations with quadratic Hamiltonians
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract Hardy's uncertainty principle is a classical result in harmonic analysis, stating that a function in L2(Rd)$L^2(\mathbb {R}^d)$ and its Fourier transform cannot both decay arbitrarily fast at infinity. In this paper, we extend this principle to the propagators of Schrödinger equations with quadratic Hamiltonians, known in the literature as ...
Elena Cordero +2 more
wiley +1 more source
Jets and connections in commutative and noncommutative geometry [PDF]
arXiv, 1999 It is emphasized that equivalent definitions of connections on modules over commutative rings are not so in noncommutative geometry.
arxiv
Wick rotation for D-modules [PDF]
, 2017 We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.
arxiv +1 more source
Symplectic Geometry for Engineers, Fundamentals
The mathematical theory underlying Hamiltonian mechanics is called symplectic geometry. So symplectic geometry arose from the roots of mechanics and is seen as one of the most valuable links between physics and mathematics today.
Goessner, Stefan
core +1 more source
Linear Symplectomorphisms as R-Lagrangian Subspaces
, 2015 The graph of a real symplectic linear transformation is an R-Lagrangian subspace of a complex symplectic vector space. The restriction of the complex symplectic form is thus purely imaginary and may be expressed in terms of the generating function of the
Hellmann, J. Chris +2 more
core +1 more source
Some applications of canonical metrics to Landau–Ginzburg models
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley +1 more source
A time-extended Hamiltonian formalism
, 1998 A Poisson structure on the time-extended space R x M is shown to be appropriate for a Hamiltonian formalism in which time is no more a privileged variable and no a priori geometry is assumed on the space M of motions.
Asorey +17 more
core +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Instantons: topological aspects [PDF]
Enclyclopedia of Mathematical Physics vol. 2 (2006) 44-50, 2005 Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv
On some aspects of the geometry of differential equations in physics
, 2004 In this review paper, we consider three kinds of systems of differential equations, which are relevant in physics, control theory and other applications in engineering and applied mathematics; namely: Hamilton equations, singular differential equations ...
Abraham R. +36 more
core +1 more source