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Results tagged with semiclassical
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user 124748
Semiclassical descriptions involve a base/background part described classically, and quantum parts representing an effective development in powers of Planck's constant, ħ. They cover systematic approximations such as the WKB, intuitive approaches to the correspondence limit, and a broad class of interstitial physical phenomena.
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Has anyone tried to solve QM using the HJE action $S$
I am wondering if scientists have tried and succeeded to use the ansatz
$$
\Phi(t,x) = (A(t,x) + \hbar B(t,x) + ...)\exp(i S(t,x) / \hbar)
$$
To solve more complex QM equations like for Hydrogen.
Us …
- 371
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Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen?
I want to highlight Fredric Thomas comment above about the correspondence principle.
We can write a solution to the Schrödinger equation like,
$$
\Psi = (A(t,x) + \hbar B(t,x) + ...)\exp(i S(t,x)/\hb …
- 371
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Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen?
Take QED, consider the spherical symmetric solutions for hydrogen, Add a condition that the mass,charge is zero for $r<r_0$. and at $r_0$, all mass,charge. Let the Photon be a standing wave. Assume pr …
- 371
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Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen?
The Bohr model is incomplete and has drawbacks. But one thing is a mystery to me. Why did it so successfully calculate the Rydberg series with quite good number of correct digits?
Having such a good …
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