SS100 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Nonstadard Analysis, Quantizations and Singular Perturbations
Name: Affiliation: Country: Email Address:
Kiyoyuki Tchizawa
Dept of Maths, Tokyo City University
Siavash H. Sohrab
Northwestern University
Nonstandard Analysis is eff ective in the context of discretizations and changes of scale, for example blow-ups. Notably in the case of singular perturbations and quantum-mechanics phenomena are studied which involve simultanuously the small and the observable. The di fferent orders of magnitude of the parameters may then be related by general principles of nonstandard analysis, like the Transfer Principle. In some cases blowing up, the Idealization and the Standardization Principle may also be needed.