Correction until second order of ground state energy and wave function of hydrogen atom caused by Stark effect in three dimensional

Here we propose a method of constructing a second order approximation for ground state energy for a class of model Hamiltonian with linear type interaction on bose operators in the strong coupling case. For the application of the above method we have considered polaron model and propose constructing a set of nonlinear differential equations for definition ground state energy in the strong coupling case. We have considered also radial symmetry case.

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THERMAL PROPERTIES AND GROUND STATE ENERGY SHIFT OF CHARGED ANYONS

International Journal of Modern Physics A ◽

10.1142/s0217751x94001485 ◽

1994 ◽

Vol 09 (20) ◽

pp. 3683-3705

Author(s):

J.Y. KIM ◽

Y.S. MYUNG ◽

S.H. YI

Keyword(s):

Coulomb Interaction ◽

Ground State Energy ◽

Ground State ◽

State Energy ◽

Correlation Energy ◽

Virial Coefficients ◽

Energy Shift ◽

Second Order ◽

Quantization Scheme ◽

Coulomb Interactions

We derive the second and third virial coefficients and the ground state energy shift for charged anyons within the Hartree-Fock approximation. A second quantization scheme at finite temperature is introduced for this calculation up to the second order and the vertex is composed of anyonic, point, constant as well as Coulomb interactions. The thermodynamic potential for the second order correlation diagram of Coulomb interaction leads to the logarithmic divergence (V ln V). Hence, we find the heat capacity and the correlation energy of anyons without Coulomb-Coulomb interaction. Finally, we discuss the magnetic-field-induced localization at low filling ν, including the Wigner crystal phase.

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EFFECTS OF THE NEXT-NEAREST-NEIGHBOR HOPPING IN OPTICAL LATTICES

Modern Physics Letters B ◽

10.1142/s0217984908014572 ◽

2008 ◽

Vol 22 (01) ◽

pp. 33-44 ◽

Cited By ~ 4

Author(s):

YUN'E GAO ◽

FUXIANG HAN

Keyword(s):

Phase Diagram ◽

Hubbard Model ◽

Ground State Energy ◽

Ground State ◽

Optical Lattices ◽

State Energy ◽

Nearest Neighbor ◽

Three Dimensional ◽

Dispersion Relations ◽

Insulating Phase

Introducing the next-nearest-neighbor hopping t′ into the Bose–Hubbard model, we study its effects on the phase diagram, on the ground-state energy, and on the quasiparticle and quasihole dispersion relations of the Mott insulating phase in optical lattices. We have found that a negative value of t′ enlarges the Mott-insulating region on the phase diagram, while a positive value of t′ acts oppositely. We have also found that the effects of t′ are dependent on the dimensionality of optical lattices with its effects largest in three-dimensional optical lattices.

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