Mathematical Sciences: The Discrete Self-Trapping Equation
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This project represents a research program to study the                       discrete self-trapping (DST) equation.  This equation serves as a               model for many important effects in applied science ranging from                charge transport in crystals to protein dynamics.  Basic                        properties of the classical DST equation are reviewed and a                     straightforward quantum procedure is outlined.  The proposed                    research includes: i) Study of a phase transition that appears as               anharmonicity is increased, ii) Study of DST for many degrees of                freedom, iii) Determination of the effects of anharmonicity in                  DST on "Anderson localization", and iv) Applications of the                     quantum theory to compute power spectra of solution trajectories.
{'FirstName': 'Alwyn', 'LastName': 'Scott', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Alwyn C Scott', 'EmailAddress': 'acs@math.arizona.edu', 'NSF_ID': '000096306', 'StartDate': '09/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Arizona', 'CityName': 'TUCSON', 'ZipCode': '85721', 'PhoneNumber': '5206266000', 'StreetAddress': '845 N PARK AVE RM 538', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Arizona', 'StateCode': 'AZ', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'AZ07', 'ORG_UEI_NUM': 'ED44Y3W6P7B9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ARIZONA', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8702066.xml'}