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The hyperspherical harmonics (HH) provide a complete basis for the expansion of atomic wave functions, but even for two particles the number of harmonics for a given order is not trivial and, as the number of electrons increases, this…

Atomic Physics · Physics 2016-09-08 Anthony D. Klemm , Michel Fabre de la Ripelle , Sigurd Yves Larsen

We introduce a new method for computing spectra of molecules for which a spin-spin term in the Hamiltonian has an important effect. In previous calculations, matrix elements of the spin-spin term and of the potential were obtained by…

Chemical Physics · Physics 2019-05-23 Xiao-Gang Wang , Tucker Carrington

An analytic method is proposed to compute the surface energy and elementary excitations of the XXZ spin chain with generic non-diagonal boundary fields. For the gapped case, in some boundary parameter regimes the contributions of the two…

Statistical Mechanics · Physics 2021-07-01 Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We present predictions for the neutron matter equation of state, from leading to fourth order of chiral effective field theory, using recently developed, accurate chiral nucleon-nucleon potentials. We find the impact of subleading…

Nuclear Theory · Physics 2021-09-15 Francesca Sammarruca , Randy Millerson

We present a largely model independent analysis of the lighter Heavy Quarkonium Hybrids based on the strong coupling regime of Potential Non-Relativistic QCD (pNRQCD). We calculate the spectrum at leading order, including the mixing of…

High Energy Physics - Phenomenology · Physics 2017-07-19 Rubén Oncala , Joan Soto

We have obtained accurate ab initio quartet potentials for the diatomic metastable triplet helium + alkali-metal (Li, Na, K, Rb) systems, using all-electron restricted open-shell coupled cluster singles and doubles with noniterative triples…

Quantum Gases · Physics 2015-08-24 Dariusz Kȩdziera , Łukasz Mentel , Piotr S. Żuchowski , Steven Knoop

An infinite sequence of potential well functions is considered. A trial wavefunction is used with the Schr$\ddot{\text{o}}$dinger equation to obtain an approximate ground state energy for each potential well function. We obtain an…

Quantum Physics · Physics 2018-03-07 Rodney O. Weber

The low-energy properties of the two-dimensional Heisenberg model with spin-$\frac{1}{2}$ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartet of…

Condensed Matter · Physics 2015-06-25 V. I. Belinicher , L. V. Popovich

A variational calculation of the energy levels of a class of PT-invariant quantum mechanical models described by the non-Hermitian Hamiltonian H= p^2 - (ix)^N with N positive and x complex is presented. Excellent agreement is obtained for…

Quantum Physics · Physics 2009-10-31 Carl Bender , Fred Cooper , Peter Meisinger , Van M. Savage

In this note we discuss the phase space of the O(2N) vector model in the presence of a quadratic and a quartic interaction by writing the large-N effective potential using large charge methods in dimensions 2<D<4 and 4<D<6. Based on a…

High Energy Physics - Theory · Physics 2022-03-09 Rafael Moser , Domenico Orlando , Susanne Reffert

A method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpeter amplitude in lattice QCD is presented. It is applied to the two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing between the…

High Energy Physics - Lattice · Physics 2014-11-20 T. Hatsuda

A compact approximate groundstate of the Kondo problem is introduced. It consists of four Slater states. The spin up and down states of the localized d-impurity are paired with two localized s-electron states of opposite spin. All the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Gerd Bergmann , Liye Zhang

We report the development of the theory and computer program for analytical nuclear energy gradients for (extended) multi-state complete active space perturbation theory (CASPT2) with full internal contraction. The vertical shifts are also…

Chemical Physics · Physics 2017-03-20 Bess Vlaisavljevich , Toru Shiozaki

We compute the energy of a static hybrid, i.e. of a hybrid quarkonium with static quark and antiquark, at short distances in D=4,3 dimensions. The soft contribution to this energy is the static potential of a color octet quark-antiquark…

High Energy Physics - Phenomenology · Physics 2011-09-08 Antonio Pineda , Maximilian Stahlhofen

The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three- and four-body nuclei are calculated with AV6 and AV14 NN potentials.…

Nuclear Theory · Physics 2009-11-07 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

It has long been argued that the minimal model to describe the low-energy physics of the high-Tc superconducting cuprates must include copper states of other symmetries besides the canonical x2-y2 one, in particular the z2 orbital.…

Strongly Correlated Electrons · Physics 2011-10-12 Liviu Hozoi , Liudmila Siurakshina , Peter Fulde , Jeroen van den Brink

An overview of computational methods to describe high-dimensional potential energy surfaces suitable for atomistic simulations is given. Particular emphasis is put on accuracy, computability, transferability and extensibility of the methods…

Chemical Physics · Physics 2020-07-08 Oliver T. Unke , Debasish Koner , Sarbani Patra , Silvan Käser , Markus Meuwly

The spectrum of a one-dimensional pseudospin-one Hamiltonian with a three-component potential is studied for two configurations: (i) all the potential components are constants over the whole coordinate space and (ii) the profile of some…

Quantum Physics · Physics 2023-10-30 A. V. Zolotaryuk , Y. Zolotaryuk , V. P. Gusynin

The matrix elements of relativistic nucleon-nucleon $(NN)$ potentials are calculated directly from the nonrelativistic potentials as a function of relative $NN$ momentum vectors, without using a partial wave decomposition. To this aim, the…

Nuclear Theory · Physics 2021-09-08 M. R. Hadizadeh , M. Radin , F. Nazari

We obtain lower bounds on the ground state energy, in one and three dimensions, for the spinless Salpeter equation (Schr\"odinger equation with a relativistic kinetic energy operator) applicable to potentials for which the attractive parts…

Mathematical Physics · Physics 2015-06-26 Fabian Brau