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Each Landau level is degenerate because of the second quantum number , which can take the values =, where is an integer. The allowed values of N {\displaystyle N} are further restricted by the condition that the center of force of the oscillator, x 0 {\displaystyle x_{0}} , must physically lie within the system, 0 ≤ x 0 < L x {\displaystyle 0 ...
This is the earliest known solvable system, which was discussed by Majorana in 1932. Among the other examples there are models of a pair of degenerate level crossing, [23] and the 1D quantum Ising chain in a linearly changing magnetic field. [24] [25] Landau–Zener transitions in infinite linear chains. [26]
In quantum physics and quantum chemistry, an avoided crossing (AC, sometimes called intended crossing, [1] non-crossing or anticrossing) is the phenomenon where two eigenvalues of a Hermitian matrix representing a quantum observable and depending on continuous real parameters cannot become equal in value ("cross") except on a manifold of dimension . [2]
In a quantum oscillation experiment, the external magnetic field is varied, which causes the Landau levels to pass over the Fermi surface, which in turn results in oscillations of the electronic density of states at the Fermi level; this produces oscillations in the many material properties which depend on this, including resistance (the ...
This is because Landau theory is a mean field theory, and does not include long-range correlations. This theory does not explain non-analyticity at the critical point, but when applied to superfluid and superconductor phase transition, Landau's theory provided inspiration for another theory, the Ginzburg–Landau theory of superconductivity.
Pages in category "Level crossings" The following 17 pages are in this category, out of 17 total. This list may not reflect recent changes. ...
Illegal crossings surged to their highest-ever level in 2023, with more than 300,000 irregular crossings in December alone. The White House backed bipartisan negotiations in Congress aimed at a ...
Here the second Landau level is half full, but the state cannot be a Fermi sea of composite fermions, because the Fermi sea is gapless and does not show quantum Hall effect. This state is viewed as a "superconductor" of composite fermion, [18] [19] arising from a weak attractive interaction between composite fermions at this filling factor. The ...