What is a Quantum System A quantum system is traditionally defined as an object or a collection of objects in the scale of the electron or of the atoms, the description of which is governed by the laws of quantum mechanics. However, it has become increasingly evident that the grips of quantum mechanics extend much… Read More: Quantum Systems and their Hilbert Spaces »
It is not uncommon to come across the phrase Hilbert space in any book of quantum mechanics, with the author mentioning Hilbert space as if the exact mathematical description of the Hilbert space is a nuance that can be relegated to a side study. For example, we have Susskind and Friedman, in their book Quantum… Read More: Hilbert space without the math »
Quantum mechanics demands that every quantum system corresponds to a separable Hilbert space. The separability condition requires that the Hilbert space possesses a countable set of basis vectors. A collection of objects or a set is called countable if it has a finite number of members or elements; or, in the case of infinite number… Read More: Are there countable number of quantum systems? »
Introduction A system is an object or a collection of objects whose properties are subject to observation and measurement. The state of a given system is the minimum collection of information that completely describes the system. For a classical particle, its state is specified by giving its position and momentum at any given time. The… Read More: The Hilbert space of quantum mechanics »