Results 31 to 40 of about 64,913 (266)
On a Z_3-Graded Generalization of the Witten Index [PDF]
, 2001 We construct a realization of the algebra of the Z_3-graded topological symmetry of type (1,1,1) in terms of a pair of operators D_1: H_1 -> H_2, and D_2: H_2 -> H_3 satisfying [D_1D_1^\dagger,D_2^\dagger D_2]=0.
Aghababaei Samani +19 more
core +2 more sources
Exact solutions to the modified Korteweg-de Vries equation
, 2010 A formula for certain exact solutions to the modified Korteweg-de Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as ...
Demontis, Francesco
core +1 more source
Phase Operator for the Photon Field and an Index Theorem [PDF]
, 1994 An index relation $dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 1$ is satisfied by the creation and annihilation operators $a^{\dagger}$ and $a$ of a harmonic oscillator. A hermitian phase operator, which inevitably leads to $dim\ ker\ a^{\dagger}a -
D. T. Pegg +18 more
core +3 more sources
When is $(A+B)^{\dagger}=A^{\dagger}+B^{\dagger}$?
, 2020 We address the question as to when it is true that $(A+B)^{\dagger}=A^{\dagger}+B^{\dagger},$ where $\dagger$ denotes the Moore-Penrose inverse. A similar question is addressed for the group inverse.
openaire +2 more sources
The Dagger of the Serasker Agmet Urfe-Valesa, a Relic of Russian Military Glory [PDF]
Историческое оружиеведение, 2021 The article examines a precious Turkish dagger that belonged to a high-ranking Turkish military commander Agmet Urfe-Valesa. The dagger became a trophy of the Russian army in the Battle of Galatsa on November 5, 1769.
Dr. Alexey K. Levykin +1 more
doaj
, 2013 We prove that, for $X$, $Y$, $A$ and $B$ matrices with entries in a non-commutative ring such that $[X_{ij},Y_{k\ell}]=-A_{i\ell} B_{kj}$, satisfying suitable commutation relations (in particular, $X$ is a Manin matrix), the following identity holds ...
Caracciolo, Sergio, Sportiello, Andrea
core +1 more source
Partial stratification of secant varieties of Veronese varieties via curvilinear subschemes [PDF]
, 2010 We give a partial "quasi-stratification" of the secant varieties of the order $d$ Veronese variety $X_{m,d}$ of $\mathbb {P}^m$. It covers the set $\sigma_t(X_{m,d})^{\dagger}$ of all points lying on the linear span of curvilinear subschemes of $X_{m,d}$,
Ballico, E., Bernardi, A.
core +7 more sources
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Arkhaia AnatolikaThis study aims to evaluate the metal weapons unearthed from layer IV of Seyitömer Mound, located in Inner Anatolia, which represents the Late Colony and Old Hittite Periods, within the framework of their typological classification and counterparts ...
Rana BAŞKURT USTA
doaj +1 more source
, 1998 We study the time and temperature dependent correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions $\langle \psi(x_1,0)\psi^\dagger(x_2,t)\rangle _{\pm,T}$.
Davis B. +7 more
core +1 more source