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- Thread starter wasi-uz-zaman
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http://en.m.wikipedia.org/wiki/Quantum_harmonic_oscillator

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That equation is analogous to the equation ##[a,a\dagger]=1## for the harmonic oscillator.

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Get a hold of Quantum Field Theory for the Gifted Amateur:

https://www.amazon.com/dp/019969933X/?tag=pfamazon01-20

There are a number of different equivalent forms of QM. There is a form based on annihilation and creation operators, which is not that well known, that brings out this connection very clearly. The above reference explains it in detail.

Added Later

Check out:

http://math.bu.edu/people/mak/Styer Am J Phys 2002.pdf

See formulation 7

Thanks

Bill

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