Quantum Mechanics in Nonintertial Reference Frames

✍ Scribed by W.H. Klink

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 405 KB
• Volume: 260
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1997.5720

✦ Synopsis

The Galilean covariance of nonrelativistic quantum mechanics is generalized to acceleration transformations. Projective representations of the group of acceleration transformations are constructed and the resulting unitary operators are shown to implement arbitrary accelerations. These unitary operators are used to modify the time-dependent Schro dinger equation and produce the quantum mechanical analog of fictitious forces. The relationship of accelerating systems to gravitational forces is discussed, as well as the effects of accelerations on the internal structure of quantum mechanical systems.