Spondylolisthesis on bilateral pedicle stress fracture in the lumbar spine: A case study

AbstractWe report the clinical case of a 54-year-old woman presenting radicular low back pain on the right side of L4 associated to spondylolisthesis on L4-L5, without any notion of trauma or spine surgery. Furthermore this patient is regularly seen for benign rheumatoid polyarthritis complicated by steroid-induced osteoporosis. A preventive treatment was implanted with good results on pain improvement and functional capacities. For pedicle fractures the literature review reports several different etiologies: spontaneous fractures, hereditary fractures or stress-related fractures. There was a discussion on the various treatments available and in this case of spondylolisthesis on pedicle fracture a conservative treatment was implemented similar to the one for isthmic spondylolisthesis. It yielded satisfying results

THE BOUND STATES FOR THE NON POLYNOMIAL POTENTIAL VIA THE GENERALIZED DIFFERENTIAL QUADRATIC METHOD

In a previous work, we have introduced the generalized differential quadratic method (called GDQ) to handle the Schrödingerequation. This paper deals with a particular situation in which an application to the non polynomial potential is considered. Theresults are compared with some numerical examples for the same potential of interest. Dans un récent travail nous avons introduit la méthode quadratique différentielle généralisée pour manipuler l’équation deSchrödinger. Cet article traite une situation particulière dans laquelle une application à un potentiel non polynomial estconsidérée. Les résultats sont confrontés avec des exemples numériques pour le même potentiel d’intérêt

On the construction of generalized Grassmann representatives of state vectors

Generalized $Z_k$-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors.Comment: 8 page

Coherent states in the quantum multiverse

In this paper, we study the role of coherent states in the realm of quantum cosmology, both in a second-quantized single universe and in a third-quantized quantum multiverse. In particular, most emphasis will be paid to the quantum description of multiverses made up of accelerated universes. We have shown that the quantum states involved at a quantum mechanical multiverse whose single universes are accelerated are given by squeezed states having no classical analogs.Comment: 7 pages, 3 figure