Mathematics of Computation, Vol. 77, No. 261 (Jan., 2008), pp. 353-378 (26 pages) We consider the problem of completion of a matrix with a specified lower triangular part to a unitary matrix. In this ...
Abstract Let A be an n × n Hermitian matrix and A = UΛUH be its spectral decomposition, where U is a unitary matrix of order n and Λ is a diagonal matrix. In this note we present the perturbation ...
Hermitian Hamiltonians are a fundamental concept in quantum mechanics, serving as the mathematical foundation for describing the energy and time evolution of quantum systems. They are named after the ...