The bound state wave functions for a wide class of exactly solvable potentials are found utilizing the quantum Hamilton-Jacobi formalism. It is shown that, exploiting the singularity structure of the quantum momentum function, until now used only for obtaining the bound state energies, one can straightforwardly find both the eigenvalues and the corresponding eigenfunctions. After demonstrating ...

The tunneling conductance spectra of a normal metal / insulator / singlet superconductor is calculated from the reflection amplitudes using the BlonderTinkham-Klapwijk (BTK) formulation. The pairing symmetry of the superconductor is assumed to be dx2−y2 + is, or dx2−y2 + idxy. It is found that in the (dx2−y2 + is)-wave case there is a well defined conductance peak in the conductance spectra, in...

We discuss the interplay of particle-particle and particle-hole spin-triplet channels in high-Tc superconductors using a quasiparticle dispersion motivated by angle-resolved photoemission. Within a generalized randomphase approximation, we find a well-defined antibound state of two holes, the p resonance of Demler and Zhang, as well as a bound state of a particle and a hole, the spin exciton. W...

We calculate the thermal flux of low-energy solar neutrinos and antineutrinos of all flavors arising from a variety of neutrino pair processes: Compton production (including plasmon-pole diagrams), neutral current decay of thermally populated nuclear states, plasmon decay, and electron transitions from free to atomic bound states. The resulting flux density per flavor is significant (108 − 109/...

We study properties of (D(p− 2), Dp) nonthreshold bound states (2 ≤ p ≤ 6) in the dual gravity description. These bound states can be viewed as Dp-branes with a nonzero NS B field of rank two. We find that in the decoupling limit, the thermodynamics of the Np coincident Dp-branes with B field is the same not only as that of Np coincident Dp-branes without B field, but also as that of the Np−2 c...

Using the ab initio potential of Shin ef al. (to be published), we have calculated the bound states and infrared absorption spectrum of the van der Waals complex Ar.+CO. The results show that Ar.*CO cannot be treated as a quasirigid rotor, nor as a molecule with a free internal rotor. In particular, a transition to the first excited van der Waals bending level is predicted to be present in the ...

We study phase diagram of the dense holographic gauge matter in the SakaiSugimoto model in the presence of the magnetic field above the deconfinement temperature. Even above the deconfinement, quarks could form colour bound states through the remaining strong interaction if the density is large. We demonstrate that in the presence of the magnetic field for a sufficiently large baryon density, t...

We analyze the free energy of a static quark anti-quark pair in quenched QCD at short and large distances. From this we deduce running couplings, g(r, T ), and determine the length scale that separates at high temperature the short distance perturbative regime from the large distance nonperturbative regime in the QCD plasma phase. Ambiguities in the definition of a coupling beyond the perturbat...

Complex potential transformations which add imaginary parts to chosen energy levels are given and qualitatively explained. Unexpected shape similarity of potential perturbations for real and imaginary E-shifts of bound states are exhibited. The imaginary E-shifts in the continuous spectrum lead to a surprising quasi-periodic field raking up initial propagating waves into localized states. Compl...

The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral structure. However, when the transformation is implemented for factorization energies inside of the forbidden bands, the final potential will have again the initial band structure but it can have bound states encrusted into...