NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	RUTGERS, THE STATE UNIVERSITY
Initial Amendment Date:	September 3, 1993
Latest Amendment Date:	June 15, 1994
Award Number:	9305930
Award Instrument:	Continuing Grant
Program Manager:	Daljit S. Ahluwalia DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	July 15, 1993
End Date:	December 31, 1995 (Estimated)
Total Intended Award Amount:	$50,000.00
Total Awarded Amount to Date:	$50,000.00
Funds Obligated to Date:	FY 1993 = $25,000.00 FY 1994 = $25,000.00
History of Investigator:	Sheldon Goldstein (Principal Investigator) oldstein@math.rutgers.edu
Recipient Sponsored Research Office:	Rutgers University New Brunswick 3 RUTGERS PLZ NEW BRUNSWICK NJ  US  08901-8559 (848)932-0150
Sponsor Congressional District:	12
Primary Place of Performance:	Rutgers University New Brunswick 3 RUTGERS PLZ NEW BRUNSWICK NJ  US  08901-8559
Primary Place of Performance Congressional District:	12
Unique Entity Identifier (UEI):	M1LVPE5GLSD9
Parent UEI:
NSF Program(s):	THEORETICAL PHYSICS, APPLIED MATHEMATICS
Primary Program Source:	app-0193  app-0194
Program Reference Code(s):	0000, OTHR
Program Element Code(s):	124500, 126600
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

9305930 Goldstein The investigator intends to continue his analysis of Bohmian mechanics, which defines a deterministic dynamical system involving a novel combination of ordinary and partial differential equations having remarkable properties. The proposed research involves the analysis of several rather distinct components: 1) the basic mathematical properties of the system itself, such as existence and uniqueness of the dynamics; 2) phenomenology, such as the emergence of the quantum formalism and of the classical limit; and 3) extensions to relativity and covariant gravitation. %%% The importance of the proposed research lies in the following observations. 1) The foundations of quantum theory continue to be mired in confusion and incoherence some sixty five years after its inception. 2) Bohmian mechanics is the natural embedding of Schroedinger's equation -- the mathematical core of almost all interpretations of quantum theory -- into a clear, precise physical theory, emerging if one merely insists that the Schroedinger wave function be relevant to the motion of particles. 3) An appreciation of Bohmian mechanics can be the source of flexibility and clarity when one attempts to apply quantum theory in new directions -- for example, to understand the implications of macroscopic interference effects -- and to new domains, such as quantum gravity. ***

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