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Results tagged with harmonic-oscillator
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user 43987
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 as toy problems that describe many physical systems.
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Decoupling the Hamiltonian by a Discrete Fourier transform
For $N$ coupled oscillators(periodic BC) whose Hamiltonian is given as
$H=\sum\limits_{i=1}^N (\frac{p_i}{2m} + \lambda(x_{i+1} - x_i)^2)$
decoupling can be achieved by change of variables by using …
- 1,285