Centre-of-mass motion in multi-particle Schrödinger-Newton dynamics
Abstract
We investigate the implication of the nonlinear and non-local multi-particle Schrödinger-Newton equation for the motion of the mass centre of an extended multi-particle object, giving self-contained and comprehensible derivations. In particular, we discuss two opposite limiting cases. In the first case, the width of the centre-of-mass wave packet is assumed much larger than the actual extent of the object, in the second case it is assumed much smaller. Both cases result in nonlinear deviations from ordinary free Schrödinger evolution for the centre of mass. On a general conceptual level we include some discussion in order to clarify the physical basis and intention for studying the Schrödinger-Newton equation.
- Publication:
-
New Journal of Physics
- Pub Date:
- July 2014
- DOI:
- arXiv:
- arXiv:1404.0624
- Bibcode:
- 2014NJPh...16g5005G
- Keywords:
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- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Quantum Physics;
- 35Q40;
- 83C45
- E-Print:
- 24 pages, 1 figure