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Quantum Science Philippines

Solving for the electric field using Gauss’ theorem

Monday, July 4th, 2011

Bianca Rae B. Sambo Problem 1.4 (Classical Electrodynamics, 3rd Edition by Jackson)   Each of the three charged spheres of radius a has a total charge Q. One is conducting, one has a uniform charge density within its volume and one having a spherically symmetric charge density that varies radially as where (r>-3). Use Gauss’ […]

Posted in Electrodynamics | No Comments »

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 »

Perturbation Theory: Quantum Oscillator Problem

Monday, April 20th, 2009

by ANCELIE C. ROSALES In quantum mechanics, the perturbation theory is a very important mathematical tool which is used to approximate physical quantities that describe complicated quantum systems based on our knowledge on the simpler ones. It tells us how to correct the solutions to the unperturbed or undisturbed problem to approximately account for the […]

Posted in Quantum Oscillators, Quantum Physics, Quantum Science Philippines | 25 Comments »