Separation of center of mass in homogeneous magnetic fields

Avron, J. E.; Herbst, Ira; Simon, Barry

doi:10.1016/0003-4916(78)90276-2

Cited by 342 publications

(289 citation statements)

References 16 publications

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“…While using basis (2) allows automatic resolution of two good manybody quantum numbers, projection of spin (S z = σ i ) and of angular momentum (L z = m i ), the length of spin (S) and of angular momentum (L) are resolved numerically in the diagonalization of each (S z , L z ) Hilbert subspace. The results obtained on Haldane sphere are easily converted to the planar geometry, where L and L z are appropriately 64,65 replaced by the total and centerof-mass angular momentum projections, M and M CM .…”

Section: Modelmentioning

confidence: 99%

Spin excitation spectra of integral and fractional quantum Hall systems

Wójs

Quinn

2002

Phys. Rev. B

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Results are presented of detailed numerical calculations for the spin excitation spectra of a twodimensional electron gas confined in a quantum well of finite width w, at magnetic fields corresponding to the fractional and integral fillings of the lowest and of excited Landau levels. Spin waves and skyrmions are identified, and their mutual interactions are studied at filling factors ν = 1 3 , 1, 3, and 5. The smallest skyrmions at ν = 1 3 are equivalent to composite fermion charged excitons X ± CF . Bose condensates of nearly noninteracting spin waves and Laughlin correlations between finite-size skyrmions are found at ν = 1 and 1 3 and, for w larger than about two magnetic lengths, also at ν = 3 and 5. A general criterion for the occurrence of skyrmions at odd integral fillings and at Laughlin fractional fillings of the lowest Landau level is given in terms of the interaction pseudopotentials. This explains the dependence of skyrmion states on w observed in excited Landau levels.

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Section: Modelmentioning

confidence: 99%

Spin excitation spectra of integral and fractional quantum Hall systems

Wójs

Quinn

2002

Phys. Rev. B

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“…This separation is a recurrent problem that arises, for example, in the study of the motion of two charged particles in external electromagnetic fields. For the case of the hydrogen atom in external constant, perpendicular electric and magnetic fields, the problem has been solved by the introduction of a new conserved quantity, the pseudomomentum, which extends the notion of the CM momentum operator in the case of no external forces [10].…”

Section: Discussionmentioning

confidence: 99%

Effective Electromagnetic Interaction Potential in Flat and Curved Spacetimes

Caicedo¹,

Urrutia²,

Morales‐Técotl³

et al. 2010

AIP Conference Proceedings

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“…One of them is the Pseudomomentum approach. It was introduced in [77][78][79][80] to separate center-of-mass (c.m.) motion from the relative motion in the nonrelativistic Hamiltonian for the neutral system in MF.…”

Section: Introductionmentioning

confidence: 99%

The evolution of meson masses in a strong magnetic field

Андрейчиков

Kerbikov

Luschevskaya

et al. 2017

J. High Energ. Phys.

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Spectra of qq hadrons are investigated in the framework of the Hamiltonian obtained from the relativistic path integral in external homogeneous magnetic field. The spectra of all 12 spin-isospin s-wave states, generated by π and ρ mesons with different spin projections, are studied both analytically and numerically on the lattice as functions of (magnetic field) eB. Results are in agreement and demonstrate three types of behavior, with characteristic splittings predicted by the theory.

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Separation of center of mass in homogeneous magnetic fields

Cited by 342 publications

References 16 publications

Spin excitation spectra of integral and fractional quantum Hall systems

Spin excitation spectra of integral and fractional quantum Hall systems

Effective Electromagnetic Interaction Potential in Flat and Curved Spacetimes

The evolution of meson masses in a strong magnetic field

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