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The bound state spectrum of the low-lying triplet states in the Be atom is investigated. In particular, we perform accurate computations of the bound triplet $S$, $P$, $D$, $F$, $G$, $H$ and $I$ states in the Be atom. The results of these…

Atomic Physics · Physics 2015-06-17 Alexei M. Frolov , Maria Belen Ruiz

The total energies of twenty eight bound S-, P-, D-, F-, G-, H-, and I-states in the three-electron systems Li atom and Be+ ion, respectively, are determined with the use of the Configuration Interaction (CI) with Slater orbitals and L-S…

Atomic Physics · Physics 2013-08-09 Maria Belen Ruiz , Johannes T. Margraf , Alexei M. Frolov

A variational approach is developed for bound state calculations in three- and four-electron atomic systems. This approach can be applied to determine, in principle, an arbitrary bound state in three- and four-electron ions and atoms. Our…

Atomic Physics · Physics 2015-05-19 Alexei M Frolov , David M. Wardlaw

A large number of bound singlet and triplet states in the four-electron Be-atom and Be-like ions B$^+$, C$^{2+}$, F$^{5+}$ and Mg$^{8+}$ are determined to milli-Hartree numerical accuracy ($1\cdot 10^{-3}$ a.u.). These states include the…

Atomic Physics · Physics 2015-05-05 Maria Belen Ruiz , Federico Latorre , Alexei M. Frolov

Results of accurate computations of bound states in three- and four-electron atomic systems are discussed. Bound state properties of the four-electron lithium ion Li$^{-}$ in its ground $2^{2}S-$state are determined from the results of…

Atomic and Molecular Clusters · Physics 2016-07-08 Alexei M. Frolov , David M. Wardlaw

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator…

Nuclear Theory · Physics 2021-04-22 Yu. A. Lashko , A. V. Nesterov , V. S. Vasilevsky

Bound and resonance states of helium atom have been investigated inside a quantum dot by using explicitly correlated Hylleraas type basis set within the framework of stabilization method. To be specific, precise energy eigenvalues of bound…

Atomic Physics · Physics 2016-08-03 Jayanta K. Saha , S. Bhattacharyya , T. K. Mukherjee

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

The tunability of binding energies is explored by modulating a finite dielectric slab width in a planar, three dielectric system. After verifying the equivalence of the field method and method of images, three different configurations are…

Quantum Physics · Physics 2013-12-31 Srihari Sritharan

We study the spectrum of massive excitations in three-dimensional models belonging to the Ising universality class. By solving the Bethe-Salpeter equation for 3D $\phi^4$ theory in the broken symmetry phase we show that recently found…

High Energy Physics - Theory · Physics 2009-11-07 M. Caselle , M. Hasenbusch , P. Provero , K. Zarembo

We use the Bethe Ansatz solution for the one dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials one…

Condensed Matter · Physics 2009-10-30 Gerald Bedürftig , Holger Frahm

The energy and the width of resonance states are determined by analytic continuation of bound-state energies as a function of the coupling constant (potential strength). The advantage of the method is that the existing techniques for…

Nuclear Theory · Physics 2008-11-26 N. Tanaka , Y. Suzuki , K. Varga

We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly…

Strongly Correlated Electrons · Physics 2008-03-26 S. Trebst , H. Monien , C. J. Hamer , Z. Weihong , R. R. P. Singh

Stable bound quantum states are ubiquitous in nature. Mostly, they result from the interaction of only pairs of particles, so called two-body interactions, even when large complex many-particle structures are formed. We show that…

Strongly Correlated Electrons · Physics 2022-09-15 Gary Schmiedinghoff , Leanna Müller , Umesh Kumar , Götz S. Uhrig , Benedikt Fauseweh

We present bound state spectra of the 3D rational potential, $V(r)=r^2 + \lambda r^2/(1+gr^2)$, $g>0$, by means of the generalized pseudospectral method. All the thirty states corresponding to $n$=0--9 are considered for the first time for…

Quantum Physics · Physics 2015-05-18 Amlan K. Roy , Abraham F. Jalbout , Emil I. Proynov

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

The bound state spectrum of low-lying triplet states in the Be atom is investigated. In particular, we perform accurate computations of various bound triplet S, P, D, F, and G states in the four-electron Be atom. For the 23S(L=0) state in…

Atomic Physics · Physics 2013-11-14 Alexei M. Frolov , Maria Belen Ruiz

Energy spectra, spin configurations, and entanglement characteristics of a system of four electrons in lateral double quantum dots are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Ying Li , Constantine Yannouleas , Uzi Landman

We compute the bound state properties of three-dimensional scalar $\phi^4$ theory in the broken phase. To this end, we extend the recently developed technique of spectral Dyson-Schwinger equations to solve the Bethe-Salpeter equation and…

High Energy Physics - Phenomenology · Physics 2023-10-26 Gernot Eichmann , Andrés Gómez , Jan Horak , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink

The results of highly accurate calculations are presented for all twenty-two known bound $S(L = 0)-, P(L = 1)-, D(L = 2)-$ and $F(L = 3)-$states in the six three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$. A…

Atomic Physics · Physics 2015-05-19 Alexei M. Frolov , David M. Wardlaw
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