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Finite-dimensional quantum systems: Complementarity, phase space, and all that
(2005)
A complete set of d + 1 mutually unbiased bases exists in a Hilbert space of dimension d, whenever d is power of a prime. We discuss a simple construction of d + 1 disjoint classes (each one having d - 1 commuting operators) ...
Canonical sphere bundles of the Grassmann manifold
(Springer, 2019-11)
For a given Hilbert space H, consider the space of self-adjoint projections P(H). In this paper we study the differentiable structure of a canonical sphere bundle over P(H) given by R={(P,f)∈P(H)×H:Pf=f,‖f‖=1}.We establish ...
El problema de Caychy asociado a una ecuación del tipo Benjamin Ono
(2016)
En este trabajo se estudia el problema de valor inicial asociado a la ecuación del tipo Benjamin - Ono, presentado resultados de buen planteamiento local y global en el espacio de Sobolev Hs (R) para s ≥ 1/2 de la ecuación ...
Análise geral da não-comutatividade em mecânica quântica e teoria quântica dos campos
(Universidade Federal de Juiz de Fora (UFJF)BrasilICE – Instituto de Ciências ExatasPrograma de Pós-graduação em FísicaUFJF, 2017)
Weighted projections into closed subspaces
(Polish Acad Sciences Inst Mathematics, 2013-08)
We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate ...
A setting for generalized orthogonalization
(Duke University Press, 2014-01)
Let H be a complex Hilbert space. We study the geometry of the<br />space of pairs (A,E), for A a (semidefinite bounded linear) positive operator<br />on H and E a (bounded linear) projection on H such that AE = E*A.
MILD WELL-POSEDNESS OF ABSTRACT DIFFERENTIAL EQUATIONS
(BIRKHAUSER BASEL, 2008)
We obtain spectral conditions that characterize mild well-posed inhomogeneous differential equations in a general Banach space X. L p periodic solutions of first and second-order equations are considered. The results are ...
Parametrizing projections with selfadjoint operators
(Elsevier Science Inc, 2015-01)
Let H=H+⊕H− be an orthogonal decomposition of a Hilbert space, with E+, E− the corresponding projections. Let A be a selfadjoint operator in H which is codiagonal with respect to this decomposition (i.e. A(H+)⊂H− and ...
Riemannian geometry of finite rank positive operators
(Elsevier Science, 2005-11)
A riemannian metric is introduced in the infinite dimensional manifold Σ_n of positive operators with rank n<∞ on a Hilbert space H. The geometry of this manifold is studied and related to the geometry of the submanifolds ...