The D dimensional quasi exact solutions for the singular even power anharmonic potential V (q) = aq2 + bq−4 + cq−6 are reported. We show that whilst Dong and Ma’s [5] quasi exact ground state solution (in D=2) is beyond doubt, their solution for the first excited state is exotic. Quasi exact solutions for the ground and first excited states are also given for the above potential confined to an ...

seismic ground motion is profoundly affected by geometrical and mechanical properties of soil deposits overlaying bedrock. local seismic ground response of saturated soil deposits was studied in literature by applying the effects of soil stress state and index properties on the strain-dependent normalized shear modulus reduction, g/g0, and damping ratio, d, curves in an equivalent linear analys...

We examine Pr crystal field models with near-degeneracy of the two lowest crystal field levels, where interaction-induced quadrupolar and dipolar moments are as important as the permanent moments of the crystal field ground state. We find that the Γ1–Γ4 level scheme yields a successful description of the antiferroquadrupolar ordering of PrFe4P12. For PrBa2Cu3O6, we argue that quadrupolar intera...

We prove existence of a ground state and resonances in the standard model of the non-relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical transformation of QED Hamiltonians and use the spectral renormalization group technique with a new choice of Banach spaces.

We show how the worldvolume realization of the Hanany-Witten effect for a supersymmetric D5-brane in a D3 background also provides a classical realization of the ‘s-rule’ exclusion principle. Despite the supersymmetry, the force on the D5-brane vanishes only in the D5 ‘ground state’, which is shown to interpolate between 6-dimensional Minkowski space and an OSp(4|4)-invariant adS2×S geometry. T...

We prove the adiabatic theorem for quantum evolution without the traditional gap condition. All that this adiabatic theorem needs is a (piecewise) twice differentiable finite dimensional spectral projection. The result implies that the adiabatic theorem holds for the ground state of atoms in quantized radiation field. The general result we prove gives no information on the rate at which the adi...

We use the coupled cluster expansion (exp(S) method) to generate the complete ground state correlations due to the NN interaction. Part of this procedure is the calculation of the two-body G matrix inside the nucleus in which it is being used. This formalism is being applied to O in a configuration space of 50 h̄ω. The resulting ground state wave function is used to calculate the binding energy ...

We report on our progress in the calculation of nuclear ground-state properties using effective Lagrangians whose construction is constrained by QCD scales and chiral symmetry. Good evidence is found that QCD and chiral symmetry apply to finite nucle

We examine Pr crystal field models with near-degeneracy of the two lowest crystal field levels, where interaction-induced quadrupolar and dipolar moments are as important as the permanent moments of the crystal field ground state. We find that the Γ1–Γ4 level scheme yields a successful description of the antiferroquadrupolar ordering of PrFe4P12. For PrBa2Cu3O6, we argue that quadrupolar intera...

A construction supporting a conjecture that different ground state pairs exist in the 2-dimensional Edwards-Anderson Ising spin glass is presented.