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Matrix operators for complex interferometer analysis
matrix multiplication fiber optic sensors gyroscopes integrated optics
2011/1/14
A modeling methodology and matrix formalism is presented that permits analysis of arbitrarily complex interferometric waveguide systems, including polarization and backreflection effects.
Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
finite-dimensional Hilbert space basis of operators star-product scheme
2011/3/4
Columns of d2 ×N matrices are shown to create different sets of N operators acting on d-dimensional Hilbert space.
Dichotomy theorems for random matrices and closed ideals of operators on $\big(\bigoplus_{n=1}^\infty\ell_1^n \big)_{\mathrm{c}_0}$
Dichotomy random matrices closed ideals of operators
2010/12/7
We prove two dichotomy theorems about sequences of operators into L1 given by random matrices. In the second theorem we assume that the entries of each random ma-trix form a sequence of independent, s...