Results 41 to 50 of about 1,278,901 (285)

The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration [PDF]

, 2015
Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by
Breev, A. I., Shapovalov, A. V.
core   +3 more sources

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

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

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

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Buildings, 2023
Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries.
Zhong Zhang, Ying Sun, Ziru Xiang, Wangping Qian, Xuejun Shao   +4 more
doaj   +1 more source

The HIT Network for Children and Adolescents With CNS Tumors Facilitates Improvements of Diagnostic Assessments, Multimodal Treatments, Individual Counseling, and Research in Germany, Austria, and Switzerland

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski, Michael C. Frühwald, Gudrun Fleischhack, Stephan Tippelt, Pablo Hernáiz‐Driever, Olaf Witt, Astrid Gnekow, Christof Kramm, Matthias Eyrich, Johannes E. A. Wolf, Hermann Müller, Carsten Friedrich, Uwe R. Kordes, Denise Obrecht‐Sturm, Petra Ketteler, Barbara von Zezschwitz, Pascal Johann, Dominik Sturm, Karoline Nemes, Stefan Schönberger, Till Milde, Brigitte Bison, Monika Warmuth‐Metz, Torsten Pietsch, Ulrich Schüller, Arend Koch, David Capper, Martin Hasselblatt, Christian Thomas, Christian Hagel, Stefan M. Pfister, Felix Sahm, David T. W. Jones, Martin U. Schuhmann, Jürgen Krauss, Pedram Emami, Ahmed El Damaty, Rolf D. Kortmann, Rudolf Schwarz, Jürgen Debus, Mechthild Krause, Fabian Pohl, Holger Ottensmeier, Lisa Bußenius, Katja Baust, Andreas Faldum, Cecile Ronckers, Desiree Grabow, Martin Benesch, Thomas Perwein, Karin Dieckmann, Irene Slavc, Johannes Gojo, Nicolas U. Gerber, André O. von Bueren, Katrin Scheinemann, Gabriele Calaminus, Beate Timmermann, Ulrich‐Wilhelm Thomale, Martin Mynarek   +59 more
wiley   +1 more source

Stressful Events Reported by Childhood Cancer Survivors and Community Controls From the St. Jude Lifetime (SJLIFE) Cohort: A Mixed Method Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Characterizing stressful events reported by childhood cancer survivors experienced throughout the lifespan may help improve trauma‐informed care relevant to the survivor experience. Methods Participants included 2552 survivors (54% female; 34 years of age) and 469 community controls (62% female; 33 years of age) from the St.
Megan E. Ware, Colter K. Clayton, Fang Wang, Sedigheh Mirzaei, Kyla Shelton, Tara M. Brinkman, Victoria Willard, Katianne M. Howard Sharp, Kevin Krull, Lindsay F. Schwartz, Melissa M. Hudson, Gregory T. Armstrong, Kirsten K. Ness, Rachel T. Webster   +13 more
wiley   +1 more source

Operator equations, separation of variables and relativistic alterations

International Journal of Mathematics and Mathematical Sciences, 1995
In this paper, a simple and unified method is developed that predicts the relativistic alterations of physical measures when the behavior of a natural system is characterized by means of a specific operator equation. Separation of variables is the simple
Robert A. Hermann
doaj   +1 more source

Separation of variables for a lattice integrable system and the inverse problem

, 2005
We investigate the relation between the local variables of a discrete integrable lattice system and the corresponding separation variables, derived from the associated spectral curve.
A. Ghose Choudhury, A. Roy Chowdhury, L. Faddeev, P. L. Christiansen, Supriya Mukherjee   +4 more
core   +1 more source

Unheard and Under‐Supported: Health‐Related Quality of Life in Children, Adolescents, and Young Adults With Sickle Cell Disease

Pediatric Blood &Cancer, EarlyView.
Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia, Giulia Reggiani, Elizabeth J. Maran, Maria Elisa Delle Fave, Ilaria Baido, Anna Chiara Frigo, Maria Paola Boaro, Raffaella Colombatti   +7 more
wiley   +1 more source