A geometric approach to the canonical reformulation of quantum mechanics

M. Mehrafarin

Amirkabir University of Technology

Abstract: The measure of distinguishability between two neighboring preparations of a physical system by a measurement device naturally defines a line element on the preparation space of the system. We show that quantum mechanics can be derived from the invariance of this line element in the canonical formulation. We also discuss the canonical formulation of quantum statistical mechanics.

Keywords: preparation, distinguishability metric, measurement device, canonical quantum mechanics.

Received: 21.11.2005

DOI: 10.4213/tmf1989

 English version: Theoretical and Mathematical Physics, 2006, 147:3, 847–853

Bibliographic databases:

• 
• 
• 
• 
• 
•