Mathematical Sciences: Study of Feynman-Dyson Algebras
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
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This project is mathematical research in functional analysis               applicable to theoretical physics.  The idea of a Feynman - Dyson               algebra, the main object of study, is that it permits the lifting               of two non-commuting operators to a time-ordered commutative                    state, in which one can perform analytic operations and then                    return to the original non-commutative situation.  Professor Gill               will extend earlier work to include the general theory of linear                and non-linear evolutions, with the weakest possible constraints.               A second objective is to extend the connection between his                      approach and path integrals by finding methods to construct the                 transition kernel directly from the evolution generator.  A final               objective is to refine the integration theory to allow for the                  fact that many path integrals associated with physics and                       probability theory need not generate a measure on a generalized                 Wiener space.
{'FirstName': 'Tepper', 'LastName': 'Gill', 'PI_MID_INIT': 'L', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Tepper L Gill', 'EmailAddress': 'gillt@access4less.net,tgill@howard.edu', 'NSF_ID': '000330981', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Howard University', 'CityName': 'WASHINGTON', 'ZipCode': '200590002', 'PhoneNumber': '2028064759', 'StreetAddress': '2400 6TH ST NW', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'District of Columbia', 'StateCode': 'DC', 'CONGRESSDISTRICT': '00', 'CONGRESS_DISTRICT_ORG': 'DC00', 'ORG_UEI_NUM': 'DYZNJGLTHMR9', 'ORG_LGL_BUS_NAME': 'HOWARD UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '912000', 'Text': 'CROSS-DIRECTORATE PROGRAMS'}
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