Effects of expanding universe in the Schrödinger-Newton approach
The cosmological constant is by far the simplest and most consistent way to model the accelerating expansion of our universe. In this project, we investigate the mass and length scale in which a particle should be superposed so that the effects induced by the cosmological constant dominate the dy...
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| Format: | Final Year Project |
| Language: | English |
| Published: |
2019
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10356/77109 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | The cosmological constant is by far the simplest and most consistent way to model
the accelerating expansion of our universe. In this project, we investigate the mass and
length scale in which a particle should be superposed so that the effects induced by the
cosmological constant dominate the dynamics of the particle in the Schrodinger-Newton
approach. Within this framework, we extend the existing Schrodinger-Newton equation
by replacing the Newtonian gravitational potential with a potential that includes
the effects of self-gravitating interaction and dark energy in the form of the cosmological
constant. A spherically symmetric Gaussian wave function is used as our initial condition
and its evolution under the Schrodinger-Newton-Lambda equation" is solved numerically.
First, we were able to recover most of the Schrodinger-Newton solutions found
previously. The investigation on the mass and length scale showed terrestrial required
values of approximately 10-20 kg superposed over the distance above 50 m. Unfortunately,
the time required to observe the effects of cosmological constant for terrestrial
particles turns out to be truly astronomical. |
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