The quantomic oscillator's amplitude

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    Amplitude
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Discussion Overview

The discussion revolves around the concept of amplitude in the context of a one-dimensional harmonic oscillator, particularly from both quantum and classical perspectives. Participants explore how to relate quantum mechanical descriptions, such as wave functions and probability amplitudes, to classical notions of oscillator amplitude.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant inquires about calculating the amplitude of a harmonic oscillator using its wave function.
  • Another participant clarifies that there is no classical amplitude, but rather a probability amplitude associated with measuring observables.
  • A subsequent reply seeks to connect the quantum description to the classical significance of "oscillator amplitude."
  • It is suggested that coherent states represent the closest quantum analog to classical motion in a linear harmonic oscillator.
  • A later post questions how to interpret the maximum displacement from the center of a classical harmonic oscillator using a quantum approach.

Areas of Agreement / Disagreement

Participants express differing views on the concept of amplitude, with some emphasizing the distinction between classical and quantum interpretations. The discussion remains unresolved regarding how to reconcile these perspectives.

Contextual Notes

There are limitations in the discussion regarding assumptions about the definitions of amplitude and displacement, as well as the transition from quantum to classical descriptions.

hokhani
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how can we calculate the amplitude of a one dimensional harmonic oscillator using wave function?
 
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There's no amplitude, but probability amplitude to obtain spectral values of a certain observable being measured.
 
yes
but how can we get close to the classical significance "Oscillator Amplitude"?
 
The coherent states follow most closely the classical motion of a linear harmonic oscillator.
 
ok, thanks
then,
if we want to examine a classical harmonic oscillator by quantum approach, how should we regard the most displacement from center?
 

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