Mathematical Sciences: Mathematical Physics
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
This is a research project in mathematical physics.  The                   main focus is on Schroedinger operators, which are basic to the                 modelling of physical systems at the microscopic level.  In                     particular, Professor Simon will investigate random Schroedinger                operators, in which the potential term (normally a function of                  position) is a stochastic process.  He and Professor Avron will                 also use Schroedinger operators in constructing a theory of flux                through networks.  Various topological problems that have arisen                in mathematical physics, e.g. concerning the set of hermitian                   matrices with nondegenerate eigenvalues, will be attacked.
{'FirstName': 'Barry', 'LastName': 'Simon', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Barry M Simon', 'EmailAddress': 'bsimon@caltech.edu', 'NSF_ID': '000169425', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'California Institute of Technology', 'CityName': 'PASADENA', 'ZipCode': '911250001', 'PhoneNumber': '6263956219', 'StreetAddress': '1200 E CALIFORNIA BLVD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '28', 'CONGRESS_DISTRICT_ORG': 'CA28', 'ORG_UEI_NUM': 'U2JMKHNS5TG4', 'ORG_LGL_BUS_NAME': 'CALIFORNIA INSTITUTE OF TECHNOLOGY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1245', 'Text': 'THEORETICAL PHYSICS'}, {'Code': '1262', 'Text': 'MODERN ANALYSIS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801918.xml'}