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PID2020-113406GB-I00

Financiado

NEW DEVELOPMENTS IN MATHEMATICAL MODELLING OF QUANTUM PHENOMENA

THIS PROPOSAL IS FOCUSED ON THE STUDY, DESIGN, AND IMPLEMENTATION OF SEVERAL ADVANCED MATHEMATICAL TECHNIQUES AND METHODS TO BE APPLIED TO RELEVANT PROBLEMS IN APPLIED MATHEMATICS AND MATHEMATICAL PHYSICS, MORE SPECIFICALLY IN THE... ver más

01/01/2020

UVA

25K€

Presupuesto del proyecto: 25K€

Líder del proyecto

UNIVERSIDAD DE VALLADOLID No se ha especificado una descripción o un objeto social para esta compañía.

Total investigadores 995

Financiación concedida El organismo AGENCIA ESTATAL DE INVESTIGACIÓN notifico la concesión del proyecto el día 2020-01-01 No tenemos la información de la convocatoria

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Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

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UVA

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Líder del proyecto

UNIVERSIDAD DE VALLADOLID No se ha especificado una descripción o un objeto social para esta compañía.

Total investigadores 995

Presupuesto del proyecto 25K€

Descripción del proyecto THIS PROPOSAL IS FOCUSED ON THE STUDY, DESIGN, AND IMPLEMENTATION OF SEVERAL ADVANCED MATHEMATICAL TECHNIQUES AND METHODS TO BE APPLIED TO RELEVANT PROBLEMS IN APPLIED MATHEMATICS AND MATHEMATICAL PHYSICS, MORE SPECIFICALLY IN THE QUANTUM REALM, SOME ASPECTS OF THIS PROJECT ARE BASED ON A PREVIOUS ONE, OBTAINED ALSO IN THE MATHEMATICS PANEL, NEW CHALLENGES IN SUPERSYMMETRIC AND SUPERINTEGRABLE DYNAMICAL SYSTEMS, MTM2014-57129-C2-1-P, CARRIED OUT BY A RESEARCH TEAM VERY SIMILAR TO THE PRESENT ONE, WHOSE ACHIEVEMENTS CONSTITUTE, IN A CERTAIN WAY, A STARTING POINT FOR THE OBJECTIVES OF THE PRESENT STUDY (THE OUTCOMES OF THE AFOREMENTIONED PROJECT WAS EVALUATED AS VERY SATISFACTORY ON THE REPORT ISSUED ON OCTOBER 23, 2020, SAYING LITERALLY: THE ACHIEVEMENT OF OBJECTIVES HAS BEEN VERY HIGH WITH A VERY CONSIDERABLE NUMBER OF HIGH-LEVEL PUBLICATIONS, SIX DOCTORAL THESIS HAVE BEEN PRESENTED, WHICH IS VALUED VERY POSITIVELY), THE NEW PROPOSAL WE ARE GOING TO PRESENT IN THE SEQUEL TAKES AS A STARTING POINT THE RESULTS OF THE PREVIOUS ONE, AND WILL TRY TO GO FAR BEYOND WHAT HAS BEEN UP TO NOW OUR DOMAIN OF EXPERTISE, IN ORDER TO EXPLORE NEW INTERESTING RESEARCH FIELDS STARTING FROM OUR SOLID PREVIOUS EXPERIENCE, THE PRINCIPAL GOAL OF THE PROJECT IS OBTAINING, FROM DIFFERENT POINTS OF VIEW, A BROAD RANGE OF MATHEMATICAL RESULTS CENTERED ON THE COMPREHENSION OF RELEVANT QUANTUM LINEAR AND NONLINEAR DIFFERENTIAL EQUATIONS, THESE TIME-DEPENDENT EQUATIONS ARE WELL KNOWN AND APPEAR EITHER IN RELATIVISTIC AND NONRELATIVISTIC QUANTUM MECHANICS (SCHRODINGER, DIRAC, WEYL) OR IN QUANTUM FIELD THEORIES, WHERE THE PRESENCE OF SPECIAL SOLUTIONS (TOPOLOGICAL DEFECTS) LEADS TO A WIDE VARIETY OF APPLICATIONS, BOTH THEORETICAL AND EXPERIMENTAL, THE MATHEMATICAL TECHNIQUES WE ARE REFERRING TO CAN BE GROUPED INTO THREE SPECIFIC SETS: SUPERSYMMETRY, INTEGRABLE SYSTEMS, AND SUPERCOMPUTATION,THE RESEARCH TEAM IS COMPOSED OF TEN PERMANENT PROFESSORS FROM DIFFERENT DEPARTMENTS OF MATHEMATICS AND THEORETICAL PHYSICS AT THE UNIVERSITIES OF VALLADOLID AND SALAMANCA, WHICH MAKE UP THE CORE OF THE SO-CALLED MATHEMATICAL PHYSICS RESEARCH GROUP, RECOGNIZED BY THE REGIONAL GOVERNMENT OF CASTILLE AND LEON AS A CONSOLIDATED RESEARCH UNIT (MATHPHYS-CYL, HTTP://MATHPHYS,UVA,ES/MATHPHYS-CYL/), ALL OF THOSE RESEARCHERS HAVE A VERY SOUND INTERNATIONAL SCIENTIFIC TRAJECTORY IN THEIR RESPECTIVE FIELDS OF EXPERTISE AND HAVE BEEN WORKING FOR MANY YEARS EITHER IN PURE MATHEMATICS OR IN MATHEMATICAL METHODS APPLIED TO PHYSICAL PROBLEMS OF DIFFERENT NATURE, OVER THE YEARS, THE MEMBERS OF THE GROUP HAVE ATTRACTED MANY SENIOR RESEARCHERS AS WELL AS MANY FOREIGN POSTDOCS, WHO CAME TO WORK FOR LONG PERIODS WITH SCIENTISTS FROM THE PRESENT GROUP, IN ADDITION, IT IS WORTH TO MENTION THAT ALL OF THEM ARE MEMBERS OF THE ROYAL SPANISH MATHEMATICAL SOCIETY (RSME) AND ALSO BELONG EITHER TO THE INSTITUTE OF MATHEMATICS FROM THE UNIVERSITY OF VALLADOLID (IMUVA) OR TO THE MATHEMATICS AND FUNDAMENTAL PHYSICS INSTITUTE OF THE UNIVERSITY OF SALAMANCA (IUFFYM), ORGANIZING DIFFERENT ACTIVITIES AND SEMINARS IN BOTH INSTITUTES, SYMMETRY\NONLINEAR PDE\DARBOUX TRANSFORMATIONS\HYPERSPHERICAL HARMONICS\SUPERCOMPUTATION\SELFADJOINT EXTENSIONS

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