Help with Linear Harmonic Oscillator Problem

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Homework Help Overview

The discussion revolves around a problem related to the linear harmonic oscillator in quantum mechanics, specifically focusing on the probability of finding the oscillator outside the classical limit in its ground state.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants inquire about the definitions of key concepts such as the classical limit and the ground state. There is a focus on understanding how to calculate the overlap of the quantum oscillator's wave function with the classical boundaries.

Discussion Status

The conversation highlights a lack of initial attempts from the original poster, with several participants emphasizing the need for the poster to demonstrate their own work or reasoning. Guidance is provided on the importance of showing calculations or attempts to facilitate assistance.

Contextual Notes

Participants express frustration over the original poster's lack of progress and the need for more specific information about their understanding and attempts. There is an emphasis on the requirement to adhere to homework guidelines, which may limit the type of help provided.

sanjeeb
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i m in a real problem and have to give answers to the following problem tomorrow..please anyone help me..
Q: show that in ground state of linear harmonic oscillator ,the probability of finding oscillator outside the classical limit is nearly 17%?
 
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You must show some of your own work in order for us to help you. What is the definition of the classical limit? What is the definition of the ground state?
 
yes we know, but we want to know what you know, and what you have done so far.

the thing is to calculate how much of the QM oscillators wave function overlaps the classical one.
 
i m in quite a dilemma,,, icant make u understand
 
sanjeeb said:
i m in quite a dilemma,,, icant make u understand
what we want to see is WHAT YOU have DONE to Solve your problem ? Have you made any attempts at it ? Could you say how to start, atleast make a guess ?
 
no one will give u a complete solution by looking at the links u give and the question.
if u don't write what u have done so far using what formulae u will never get help.

this is the whole point
 
i hav not tried anything out
 
sanjeeb said:
i have not tried anything out

You just have to calculate of much of the wave function is out of the classical boundrais and square the result.

Have you not tried anything?!
 

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