Unitary Matrix | Quantum Science Philippines
Quantum Science Philippines

Taylor Series Expansion of Operators

Friday, July 31st, 2009

We show sample calculations involving functions of matrices using the Taylor Series expansions.

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Simultaneous Diagonalization of Hermitian Matrices

Friday, May 8th, 2009

by MARYJANE D. MADULARA In an earlier post about the properties of Hermitian operators, it was noted that quantum operators of physical significance are Hermitian by type. Here we discuss more fully about Hermitian matrices. A n x n matrix is Hermitian if it is equal to its corresponding adjoint matrix. Now, for each Hermitian […]

Posted in Eigenvalues And Eigenvectors, Hermitian Operators, Quantum Science Philippines | 17 Comments »


Properties of Hermitian Operators

Friday, March 13th, 2009

by BEBELYN A. ROSALES Linear operators in quantum mechanics may be represented by matrices. A type of linear operator of importance is the so called Hermitian operator.  An operator is Hermitian if each element is equal to its adjoint. Most quantum operators, for example the Hamiltonian of a system, belong to this type. Now linear […]

Posted in Hermitian Operators, Quantum Science Philippines | 13 Comments »