We investigate the properties of a simple quantum system consisting of a particle in a one-dimensional infinite square well potential.

### Simple Quantum System:Infinite Square Well Potential

Monday, August 31st, 2009Posted in Eigenvalues And Eigenvectors, Quantum Physics, Quantum Science Philippines **|** 2 Comments »

### Eigenvectors and Eigenvalues of a Perturbed Quantum System

Wednesday, June 24th, 2009by HENRILEN A. CUBIO Finding the eigenvectors and eigenvalues of the state of a quantum system is one of the most important concepts in quantum mechanics. And it is here where many students get confused. In order to learn this by heart, one has to do several exercises. There are many ways that can be […]

Posted in Eigenvalues And Eigenvectors, Hermitian Operators, Quantum Science Philippines **|** 28 Comments »

### Simultaneous Diagonalization of Hermitian Matrices

Friday, May 8th, 2009by 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 »

### Schwarz Inequality

Thursday, April 23rd, 2009Schwarz Inequality, also known as Cauchy–Schwarz inequality, Cauchy inequality, or the Cauchy–Schwarz–Bunyakovsky inequality, is useful in many Mathematical fields such as Linear Algebra. This Inequality was formulated by Augustin Cauchy (1821), Viktor Yakovlevich Bunyakovsky (1859) and Hermann Amandus Schwarz (1888). The uncertainty principle of quantum mechanics, which relates the incompatibility of two operators, rests on […]

Posted in Quantum Science Philippines **|** No Comments »

### Perturbation Theory: Quantum Oscillator Problem

Monday, April 20th, 2009by 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 **|** 26 Comments »