# Coherent States of the Harmonic Oscillator

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Coherent states of a harmonic oscillator are wavepackets that have the shape of the ground state probability distribution but undergo the motion of a classical oscillator of arbitrary energy. Schrödinger first considered these in the context of minimum-uncertainty wavepackets. More recently (1963), Roy Glauber exploited coherent states in quantum-mechanical descriptions of oscillating electromagnetic fields in quantum optics and in connection with the Hanbury-Brown and Twiss experiment. Glauber shared the 2005 Nobel Prize in Physics for this work.

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Contributed by: S. M. Blinder (March 2011)

With contribution by Jeremy Michelson

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: wavepacket

Snapshots 2,3: oscillation of wavepacket

## Permanent Citation

"Coherent States of the Harmonic Oscillator"

http://demonstrations.wolfram.com/CoherentStatesOfTheHarmonicOscillator/

Wolfram Demonstrations Project

Published: March 7 2011