by SIMON JUDE BURGOS In this post we investigate the properties of a quantum oscillator by using an algebraic tool in quantum mechanics called ‘ladder operators’. Using the ladder operator it becomes easy to find the following properties for a quantum oscillator in a given energy level: the average position and momentum and the square […]

### Properties of Quantum Oscillators 1

Friday, April 3rd, 2009Posted in Quantum Oscillators, Quantum Physics, Quantum Science Philippines **|** 7 Comments »

### Properties of Hermitian Operators

Friday, March 13th, 2009by 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 »

### Sticky: Basics of Linear Vector Spaces

Sunday, January 18th, 2009by CARIEL O. MONTALBAN In quantum mechanics, I have learned that the wavefunctions, , reside in Hilbert’s space. What is Hilbert’s space? I guess to answer this question requires exploring the basic properties of Hilbert’s space. Hilbert’s space is a linear vector space whose elements, entities or components obey certain rules or axioms. This means […]

Posted in Linear Vector Space, Quantum Physics, Quantum Science Philippines **|** 24 Comments »