What is the Bohr Wilson Sommerfeld quantization law?
The main tool of the old quantum theory was the Bohr–Sommerfeld quantization condition, a procedure for selecting out certain states of a classical system as allowed states: the system can then only exist in one of the allowed states and not in any other state.
What is Wilson Sommerfeld quantization condition?
The hydrogen atom, when treated using Bohr’s admixture of classical and quan- tum concepts involves an electron circulating about a proton (subject to the attractive Coulomb force – (e2 147rfor2) r) in orbits which satisfy the condition: 27rr = nADe Broglie, n = 1, 2, 3 ….
What is quantum condition?
noun. A condition resulting from, or forming part of, the application of quantum theory to a system; a condition that selects from the states allowed by classical physics those that are consistent with quantum theory.
What is Bohrs correspondence principle?
Bohr’s correspondence principle demands that classical physics and quantum physics give the same answer when the systems become large. Bohr provided a rough prescription for the correspondence limit: it occurs when the quantum numbers describing the system are large.
What is Bohr orbital quantum condition?
Bohr assumed a quantum condition when deriving the energy levels of a hydrogen atom. This famous quantum condition was not derived logically, but it beautifully explained the energy levels of the hydrogen atom. Therefore, Bohr’s quantum condition was accepted by physicists.
What is the quantum condition for allowed elliptical orbits of electron?
– fundamental in the old quantum theory – when the electronic orbits are allowed to be elliptical (as opposed to circular), thus allowing for non-zero radial component of the momentum. where h is Planck’s constant, m is the mass of the electron, -e its charge, and Z the number of protons in the nucleus.
What is economic correspondence?
The correspondence principle is a concept in quantum theory and relativity. Correspondence principle (economics), the fact that determining the stability of an economic equilibrium corresponds to deriving results in comparative statics. One of the seven Principles cited in the esoteric book The Kybalion.
What are the limitations of Bohr Sommerfeld model of an atom?
A major shortcoming of this model was that it could not explain the spectra of atoms containing more than one electron. In order to increase the explanatory power of the model, Sommerfeld hypothesized the existence of elliptical orbits.
How to quantize the elliptical orbit of Bohr Sommerfeld?
(Eq.1) Bohr-Sommerfeld quantization condition. If we use the de Broglie relation ( wavelength λ = h/p = h/mv , p = momentum ), you can easily find that Bohr Sommerfeld’s elliptical orbit is just an integertimes de Broglie wavelength. ( Caution: in Eq.1, pris radial momentum, and “p” means constant angular momentum( p = r × mv ) ).
Is the Bohr Sommerfeld model the same as the quantum mechanics?
Bohr model is the same as the quantum mechanics in allenergy levels of the hydrogen atom. The ordinary textbooks often say that this is only a “accidental” coincidence. In fact, Schrodinger’s hydrogen is one of Bohr-Sommerfeld models also from the “mathematical” viewpoint.
Is the Bohr Sommerfeld solution valid in Schrodinger’s hydrogen?
Bohr-Sommerfeld solution is valid also in the Schrodinger’s hydrogen. The radial quantization number (= nr) means the number of de Broglie waves included in the radial orbits. And the nφmeans quantized angular momentum (= de Broglie tangential wave’s number).
How does Bohr Sommerfeld explain the spectrum of the hydrogen atom?
Bohr Sommerfeld model completely agreed with the experimental results of the hydrogen atom including the fine structure(relativistic effects) in the old quantum mechanics. Bohr Sommerfeld quantization theory can explain all about the spectrum lines of Hydrogen atom. Youhei Tsubono Top page (correct Bohr model including the two-electron atoms)