Based on the Bohr鈥揝ommerfeld model, we investigate the quantization of magnetic flux through the electronic orbits together with its dependence on additional sources of magnetic fields. The additional magnetic field causes changes of the angular momentum and hence shifts of the energy of the ...
Sommerfeld's extension of Bohr's atomic model was motivated by the quest for a theory of the Zeeman and Stark effects. The crucial idea was that a spectral line is made up of coinciding frequencies which are decomposed in an applied field. In October 1914 Johannes Stark had published the ...
doi:10.1140/epjh/e2013-40052-4Michael Eckert
We develop a model of molecular binding based on the Bohr–Sommerfeld description of atoms together with a constraint taken from conventional quantum mechanics. The model can describe the binding energy curves of H 2, H 3 and other molecules with striking accuracy. Our approach treats electrons ...
a WKB analysis#Problems without provided solutions#Size of a neutral meson in Schwinger's toy model of quark confinement#Bohr-Sommerfeld quantization for periodic boundary conditions#Ground state energy of multi-dimensional power-law potentials#1D box as a limit of power-law potentials#Ground state ...
model of quark confinement Bohr-Sommerfeld quantization for periodic boundary conditions Ground state energy of multi-dimensional power-law potentials Ground state energy of a logarithmic potential Spectrum of a logarithmic potential 1D box as a limit of power-law potentials Spin-1/2 in the field of...
In the case of SU(2), associated by the AGT relation to the 2d Liouville\ntheory, the Seiberg-Witten prepotential is constructed from the Bohr-Sommerfeld\nperiods of 1d sine-Gordon model. If the same construction is literally applied\nto monodromies of exact wave functions, the prepotential...
Charge conservation happens to imply the stability of the semiclassical spectrum of the massive Thirring model.doi:10.1016/0370-2693(76)90352-XI. VenturaG.C. MarquesElsevier B.V.Physics Letters BVentura I,Marques G C. The Bohr-Sommerfeld Quantization Rule and Charge Quantization in Field Theory[...
The generic and model independent physical implications of this condition are explored. The guiding center representations of the N-body Schrdinger equation for the system is also derived.doi:10.1016/0375-9601(87)90072-7Zhao-bin SuHan-bin Pang...
model of spin systems and BS condition#The Hamiltonian for the X–Y model of spin system#BS quantization condition in Haldane phase#BS quantization condition in superfluids#BS quantization of vortices in superconductors#BS quantization in CS formulation of quantum mechanics#Harmonic oscillator#Coherent ...