Details
| Original language | English |
|---|---|
| Article number | 075005 |
| Journal | New journal of physics |
| Volume | 16 |
| Publication status | Published - 8 Jul 2014 |
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.
Keywords
- quantum gravity, Schrödinger-Newton equation, semi-classical gravity
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: New journal of physics, Vol. 16, 075005, 08.07.2014.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Centre-of-mass motion in multi-particle Schrödinger-Newton dynamics
AU - Giulini, Domenico
AU - Großardt, André
PY - 2014/7/8
Y1 - 2014/7/8
N2 - 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.
AB - 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.
KW - quantum gravity
KW - Schrödinger-Newton equation
KW - semi-classical gravity
UR - http://www.scopus.com/inward/record.url?scp=84904185002&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/16/7/075005
DO - 10.1088/1367-2630/16/7/075005
M3 - Article
AN - SCOPUS:84904185002
VL - 16
JO - New journal of physics
JF - New journal of physics
SN - 1367-2630
M1 - 075005
ER -