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The Wigner-crystal phase of two-dimensional electrons interacting via the Coulomb repulsion and subject to a strong Rashba spin-orbit coupling is investigated. For low enough electronic densities the spin-orbit band splitting can be larger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 P. G. Silvestrov , O. Entin-Wohlman

We show that the recently discovered $\nu=1/2$ quantum Hall states in bilayer systems are triplet p-wave pairing states of composite Fermions, of exactly the same form as $^{3}$He superfluids. The observed persistence (though weakening) of…

Condensed Matter · Physics 2016-08-31 Tin-Lun Ho

The phenomenological classification of collective quadrupole excitations by means of the Bohr Hamiltonian is reviewed with focus on signatures for triaxility. The variants of the microscopic Bohr Hamiltonian derived by means of the…

Nuclear Theory · Physics 2015-10-28 S. Frauendorf

Energy spectra and spin configurations of a system of N=4 electrons in lateral double quantum dots (quantum dot Helium molecules) are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-08-03 Ying Li , Constantine Yannouleas , Uzi Landman

Spin-polarized isospin asymmetric nuclear matter is studied within the Dirac-Brueckner-Hartree-Fock approach. After a brief review of the formalism, we present and discuss the self-consistent single-particle potentials at various levels of…

Nuclear Theory · Physics 2011-07-04 Francesca Sammarruca

It is shown that, in the self-consistent quantum statistical Hartree-Fock approximation, the number of electronic states localized on one nucleus is finite. This result is obtained on the basis of the general electron-nuclear model of…

Statistical Mechanics · Physics 2010-06-14 V. B. Bobrov , S. A. Trigger

The Born-Oppenheimer (BO) approximation is less accurate in the presence of a strong magnetic field than in the absence of a field. This is due to the complicated and unpredictable response of electronic structure to the field, especially…

Chemical Physics · Physics 2023-03-29 Tanner Culpitt , Laurens D. M. Peters , Erik I. Tellgren , Trygve Helgaker

When two-dimensional electrons are subjected to a very strong magnetic field, they are believed to form a triangular Wigner crystal. We demonstrate that, in the entire crystal phase, this crystal is very well represented by a…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Chia-Chen Chang , Gun Sang Jeon , Jainendra K. Jain

Volkov states are exact solutions of the Dirac equation in the presence of an arbitrary plane wave. Volkov states, as well as free photon states, are not stable in the presence of the background plane-wave field but "decay" as…

High Energy Physics - Phenomenology · Physics 2021-07-28 T. Podszus , A. Di Piazza

We considered a two dimensional three electron quantum dot in a magnetic field in the Wigner limit. A unitary coordinate transformation decouples the Hamiltonian (with Coulomb interaction between the electrons included) into a sum of three…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Taut

We have characterized spin-squeezed states produced at a temperature of $26^\circ{\mathrm C}$ on a Nuclear Magnetic Resonance (NMR) quadrupolar system. The implementation is carried out in an ensemble of $^{133}$Cs nuclei with spin $I=7/2$…

We present a method to calculate neutron scattering cross sections for deformed nuclei using many--body wavefunctions described with multiple reference states. Nuclear states are calculated with the generator coordinate method using a low…

Nuclear Theory · Physics 2025-09-08 J. Boström , J. Rotureau , B. G. Carlsson , A. Idini

A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm…

Decay mode of the $2_1^+$ resonant state of $^6$He populated by the $^6$He breakup reaction by $^{12}$C at 240 MeV/nucleon is investigated. The continuum-discretized coupled-channels method is adopted to describe the formation of the…

Nuclear Theory · Physics 2015-06-16 Yuma Kikuchi , Takuma Matsumoto , Kosho Minomo , Kazuyuki Ogata

We present a new approach for calculating the nuclear equation of state and compressibility for finite nuclei using the density-constrained Hartree-Fock method.

Nuclear Theory · Physics 2008-11-26 A. S. Umar , V. E. Oberacker

Exact-diagonalization calculations for N=3 electrons in anisotropic quantum dots, covering a broad range of confinement anisotropies and strength of inter-electron repulsion, are presented for zero and low magnetic fields. The excitation…

Mesoscale and Nanoscale Physics · Physics 2008-01-03 Yuesong Li , Constantine Yannouleas , Uzi Landman

Fully numerical mesh solutions of 2D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of atoms and…

Atomic Physics · Physics 2015-06-26 Mikhail V. Ivanov , Peter Schmelcher

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of {\gamma}-unstable nuclei and axially symmetric prolate deformed ones with {\gamma}=0. By exploiting the results…

Nuclear Theory · Physics 2016-05-23 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

The relation between energy and density (known as the nuclear equation of state) plays a major role in a variety of nuclear and astrophysical systems. Spin and isospin asymmetries can have a dramatic impact on the equation of state and…

Nuclear Theory · Physics 2008-11-26 F. Sammarruca , P. G. Krastev