A differential structure for quantum mechanics

✍ Scribed by S Zakrzewski

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 555 KB
• Volume: 2
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/0393-0440(85)90006-3

✦ Synopsis

A method of obtaining a non -commutative analogue of a differential structure from the action of a Lie group on a C*~a1gebra is proposed. The addition of this structure to the usual structure of quantum mechanics turns out to be equivalent to the replacement of the Hubert space by a Gelfand triple (rigged Hilbert space).