Results 31 to 40 of about 1,287,809 (281)

On the new approach to variable separation in the time-dependent Schr\"odinger equation with two space dimensions

, 1995
We suggest an effective approach to separation of variables in the Schr\"odinger equation with two space variables. Using it we classify inequivalent potentials $V(x_1,x_2)$ such that the corresponding Schr\" odinger equations admit separation of ...
Boyer C., Fushchych W. I., I. V. Revenko, Niederer U., Nikitin A. G., R. Z. Zhdanov, Shapovalov V. N., W. I. Fushchych   +7 more
core   +1 more source

Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics
Alberto Carignano, Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli   +3 more
doaj   +1 more source

Shape invariance and SUSY separation of variables

EPJ Web of Conferences, 2016
The main ingredients of conventional Supersymmetrical Quantum Mechanics (SUSY QM) are presented. The generalization with supercharges of second order in derivatives - Second Order SUSY - is formulated, and the property of shape invariance is defined. The
Ioffe M.V., Kolevatova E.V., Vereshagin V.   +2 more
doaj   +1 more source

Personalized Selumetinib Dosing in Pediatric Neurofibromatosis Type 1: Insights From a Pilot Therapeutic Drug Monitoring Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács, Zoltán Köllő, Balázs Gellért Karvaly, Mahmoud Obeidat, Rita Nagy, Péter Hegyi, Brigitta Teutsch, Eszter Tuboly, Miklós Garami   +8 more
wiley   +1 more source

Separability in Riemannian Manifolds [PDF]

, 2016
An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.Comment: This paper was submitted in 2004 to the Royal Society and accepted for publication in a special
Benenti, Sergio
core   +1 more source

Sirolimus for Extracranial Arteriovenous Malformations: A Scoping Review of the Evidence in Syndromic and Non‐Syndromic Cases

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Arteriovenous malformations (AVMs) are rare, high‐flow, vascular anomalies that can occur either sporadically or as part of a genetic syndrome. AVMs can progress with serious morbidity and even mortality if left unchecked. Sirolimus is an mTOR inhibitor that is effective in low‐flow vascular malformations; however, its role in AVMs is unclear.
Will Swansson, Ingrid Winship, Gary Hammerschlag, Laura Scardamaglia   +3 more
wiley   +1 more source

Oscillatory processes under impulsive perturbations

Математичні Студії
The problem of oscillatory processes under impulsive perturbations at fixed moments in time is considered. The mathematical model consists of a classical partial differential equation describing oscillatory processes, supplemented by boundary and ...
K.K. Elgondiev
doaj   +1 more source

Generalized Lenard Chains, Separation of Variables and Superintegrability

, 2012
We show that the notion of generalized Lenard chains naturally allows formulation of the theory of multi-separable and superintegrable systems in the context of bi-Hamiltonian geometry.
A. Nijenhuis, A. Nijenhuis, F. J. Turiel, F. Magri, F. Magri, G. Tondo, Giorgio Tondo, I. Vaisman, J. Bertrand, J. Praught, N. N. Nekhoroshev, Piergiulio Tempesta, R. Abraham, R. Conte   +13 more
core   +1 more source

New Two-Dimensional Integrable Quantum Models from SUSY Intertwining [PDF]

, 2006
Supersymmetrical intertwining relations of second order in the derivatives are investigated for the case of supercharges with deformed hyperbolic metric $g_{ik}=diag(1,-a^2)$. Several classes of particular solutions of these relations are found.
Abramowitz M, Andrianov A A, Andrianov A A Ioffe M V Nishnianidze D N, Bagchi B K, Cannata F, Cannata F Ioffe M V Nishnianidze D N, D N Nishnianidze, Ince E L, Ioffe M V, Ioffe M V, Ioffe M V Mateos Guilarte J Valinevich P A, J Negro, Junker G, L M Nieto, M V Ioffe, Miller W, Perelomov A M, Reed M, Tsutsui I   +18 more
core   +3 more sources

NRASQ61R Expression in Lymphatic Endothelial Cells Causes Enlarged Vessels, Hemorrhagic Chylous Effusions, and High Mortality in a Mouse Model of Kaposiform Lymphangiomatosis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Kaposiform lymphangiomatosis (KLA) is an aggressive complex lymphatic anomaly. Patients exhibit malformed lymphatic vessels and often develop hemorrhagic effusions and elevated angiopoietin‐2 (Ang‐2) levels. A somatic NRAS p.Q61R (NRASQ61R) mutation has been associated with KLA.
C. Griffin McDaniel, Patricia Pastura, Joshua P. Scallan, Timothy D. Le Cras   +3 more
wiley   +1 more source