Questions tagged [harmonic-oscillator]
The term "harmonic oscillator" is used to describe any system with a "linear" restoring force that tends to return the system to an equilibrium state. There is both a classical harmonic oscillator and a quantum harmonic oscillator. Both are used to as toy problems that describe many physical systems.
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Ladder Operations and Rodriguez formula [closed]
During my attempt to prove the Rodriguez Formula for Hermite Polynomials by using the Ladder Operators,
$H_n(x) = (-1)^n e^{x^2}\frac{d^n}{dx^n}e^{-x^2}$, I arrived to the formula $H_n(x) = e^{x^2/2}(...
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How to determine structure stiffness of a damped 1D system with acceleration - time graph?
Consider a damped system with only acceleration - time data is available, how to determine the structure stiffness (k)? Mass of the structure is also known. It moves in a horizontal direction, like a ...
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Spring constant of typical flute style champagne glass?
I am a high school student doing a lab report on the relationship between height and resonance frequency of champagne glasses, using the "singing glasses" method where you rub your finger ...
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How did Einstein develop his harmonic oscillator model for solids if there was no solution for the quantum harmonic oscillator yet?
The Einstein model for solids (at least in the modern presentation) requires knowing that a quantum harmonic oscillator has energy levels:
$$E_n =\hbar \omega (n+1/2) $$
This result can be obtained ...
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