Effective-mass Schroedinger equation and generation of solvable potentials

A one-dimensional Schr\"odinger equation with position-dependent effective mass in the kinetic energy operator is studied in the framework of an $so(2,1)$ algebra. New mass-deformed versions of Scarf II, Morse and generalized P\"oschl-Teller potentials are obtained. Consistency with an intertwining condition is pointed out.Comment: 9 pages, no figure, communication at "2nd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech Republic, June 14-16,200

Evidence for heterogeneous nuclear ribonucleoprotein K overexpression in oral squamous cell carcinoma

The recent paper of Carpenter et al (2006b) in your journal identified hnRNP K as being overexpressed in colorectal cancer by proteomics, which has been confirmed by immunohistochemistry and tissue microarray analysis. Their study also showed that hnRNP K had an aberrant subcellular localisation in cancer cells. Although there were previous reports by Moumen et al (2005), suggesting that, in response to DNA damage, p53 inhibits hnRNP K ubiquitin-dependent proteasomal degradation, the study by Carpenter et al (2006a) could not, however, find any correlation between the expression of hnRNP K and p53 in colorectal cancer cells. We note the above observations with interest, as hnRNP K has a role in tumorigenesis and its expression has been found to be upregulated in several other cancers, including those of lungs and liver (Carpenter et al, 2006a)

Djelomična algebrizacija i odrezani Coulombov potencijal

We have applied partial algebraization technique to the cut-off Coulomb potential −Ze2/(r + β). It has been found that for a spin j representation 2j + 1 exact solutions are obtained but they belong to excited states of potentials for different values of β. Degeneracies observed in the spectrum have been compared with exact numerical results.Primijenili smo tehniku djelomične algebrizacije na odrezani Coulombov potencijal −Ze2/(r+β). Nađeno je da se za spin j dobiva 2j+1 točnih rješenja, koja pripadaju pobuđenim stanjima potencijala za različite vrijednosti β. Opažene degeneracije u spektru uspoređene su s točnim numeričkim rezultatima

Djelomična algebrizacija i odrezani Coulombov potencijal

We have applied partial algebraization technique to the cut-off Coulomb potential −Ze2/(r + β). It has been found that for a spin j representation 2j + 1 exact solutions are obtained but they belong to excited states of potentials for different values of β. Degeneracies observed in the spectrum have been compared with exact numerical results.Primijenili smo tehniku djelomične algebrizacije na odrezani Coulombov potencijal −Ze2/(r+β). Nađeno je da se za spin j dobiva 2j+1 točnih rješenja, koja pripadaju pobuđenim stanjima potencijala za različite vrijednosti β. Opažene degeneracije u spektru uspoređene su s točnim numeričkim rezultatima

Pseudo-Hermiticity and some consequences of a generalized quantum condition

We exploit the hidden symmetry structure of a recently proposed non-Hermitian Hamiltonian and of its Hermitian equivalent one. This sheds new light on the pseudo-Hermitian character of the former and allows access to a generalized quantum condition. Special cases lead to hyperbolic and Morse-like potentials in the framework of a coordinate-dependent mass model.Comment: 10 pages, no figur

SWKB Quantization Rules for Bound States in Quantum Wells

In a recent paper by Gomes and Adhikari (J.Phys B30 5987(1997)) a matrix formulation of the Bohr-Sommerfield quantization rule has been applied to the study of bound states in one dimension quantum wells. Here we study these potentials in the frame work of supersymmetric WKB (SWKB) quantization approximation and find that SWKB quantization rule is superior to the modified Bohr-Sommerfield or WKB rules as it exactly reproduces the eigenenergies.Comment: 8 page