hamiltonian Definition
relating to or denoting a mathematical expression used in quantum mechanics to describe the total energy of a physical system.
Using hamiltonian: Examples
Take a moment to familiarize yourself with how "hamiltonian" can be used in various situations through the following examples!
Example
The Hamiltonian operator is a fundamental concept in quantum mechanics.
Example
The Hamiltonian describes the total energy of a system in terms of its kinetic and potential energies.
Example
The Schrödinger equation is used to calculate the time evolution of a quantum system based on its Hamiltonian.
hamiltonian Synonyms and Antonyms
Synonyms for hamiltonian
- quantum mechanical
- energy-related
Phrases with hamiltonian
a dynamical system that can be described by Hamilton's equations of motion
Example
The double pendulum is a classic example of a Hamiltonian system.
a cycle that passes through every vertex of a graph exactly once and returns to the starting vertex
Example
Finding a Hamiltonian cycle in a graph is a well-known problem in computer science.
a path that passes through every vertex of a graph exactly once
Example
Finding a Hamiltonian path in a graph is another well-known problem in computer science.
Origins of hamiltonian
named after Sir William Rowan Hamilton, an Irish mathematician
Summary: hamiltonian in Brief
The term 'Hamiltonian' [hæmɪlˈtoʊniən] refers to a mathematical expression used in quantum mechanics to describe the total energy of a physical system. It is a fundamental concept in quantum mechanics and is used to calculate the time evolution of a quantum system. 'Hamiltonian' extends into phrases like 'Hamiltonian system,' 'Hamiltonian cycle,' and 'Hamiltonian path,' which are used in mathematics and computer science.
