Details
| Original language | English |
|---|---|
| Article number | 155018 |
| Journal | Classical and quantum gravity |
| Volume | 30 |
| Issue number | 15 |
| Early online date | 9 Jul 2013 |
| Publication status | Published - 7 Aug 2013 |
Abstract
We modify the time-dependent Schrödinger-Newton equation by using a potential for a solid sphere suggested by Jääskeläinen (2012 Phys. Rev. A 86 052105) as well as a hollow-sphere potential. Compared to our recent paper (Giulini and Großardt 2011 Class. Quantum Grav. 28 195026) where a single point particle, i.e. a Coulomb potential, was considered, this has been suggested to be a more realistic model for a molecule. Surprisingly, compared to our previous results, inhibitions of dispersion of a Gaussian wave packet occur at even smaller masses for the solid-sphere potential, given that the width of the wave packet is not exceeded by the radius of the sphere.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Classical and quantum gravity, Vol. 30, No. 15, 155018, 07.08.2013.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Gravitationally induced inhibitions of dispersion according to a modified Schrödinger-Newton equation for a homogeneous-sphere potential
AU - Giulini, Domenico
AU - Großardt, André
PY - 2013/8/7
Y1 - 2013/8/7
N2 - We modify the time-dependent Schrödinger-Newton equation by using a potential for a solid sphere suggested by Jääskeläinen (2012 Phys. Rev. A 86 052105) as well as a hollow-sphere potential. Compared to our recent paper (Giulini and Großardt 2011 Class. Quantum Grav. 28 195026) where a single point particle, i.e. a Coulomb potential, was considered, this has been suggested to be a more realistic model for a molecule. Surprisingly, compared to our previous results, inhibitions of dispersion of a Gaussian wave packet occur at even smaller masses for the solid-sphere potential, given that the width of the wave packet is not exceeded by the radius of the sphere.
AB - We modify the time-dependent Schrödinger-Newton equation by using a potential for a solid sphere suggested by Jääskeläinen (2012 Phys. Rev. A 86 052105) as well as a hollow-sphere potential. Compared to our recent paper (Giulini and Großardt 2011 Class. Quantum Grav. 28 195026) where a single point particle, i.e. a Coulomb potential, was considered, this has been suggested to be a more realistic model for a molecule. Surprisingly, compared to our previous results, inhibitions of dispersion of a Gaussian wave packet occur at even smaller masses for the solid-sphere potential, given that the width of the wave packet is not exceeded by the radius of the sphere.
UR - http://www.scopus.com/inward/record.url?scp=84880148135&partnerID=8YFLogxK
U2 - 10.1088/0264-9381/30/15/155018
DO - 10.1088/0264-9381/30/15/155018
M3 - Article
AN - SCOPUS:84880148135
VL - 30
JO - Classical and quantum gravity
JF - Classical and quantum gravity
SN - 0264-9381
IS - 15
M1 - 155018
ER -