An Extension of Many-Interacting-Worlds Method on Non-Guassian Model
- URL: http://arxiv.org/abs/2212.09020v2
- Date: Tue, 27 Dec 2022 13:32:49 GMT
- Title: An Extension of Many-Interacting-Worlds Method on Non-Guassian Model
- Authors: Wen Chen and An Min Wang
- Abstract summary: Many-interacting-worlds method provides possibility to demonstrate probability from deterministic universe.
We extend this method to one dimensional Coulomb potential and construct a corresponding empirical density function.
This research provides the possibility to extend many-interacting-worlds method to non-Gaussian quantum systems.
- Score: 3.7017066514719814
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Discussions about whether quantum theory is determinism or indeterminism has
lasted for a century. A new approach to standard quantum mechanics called
many-interacting-worlds method based on many-worlds interpretation and de
Broglie-Bohm mechanics provided the possibility to demonstrate probability from
deterministic universe.The many-interacting-worlds method has been proved
successful in the ground state of harmonic oscillator. In this article we
extend this method to one dimensional Coulomb potential and construct a
corresponding empirical density function. We also provide a theoretical proof
of the convergence of density function. Our numerical simulation of one
dimensional Coulomb potential in the first excited state obtains the consistent
result with standard quantum mechanics and shows the applicability of
many-interacting-worlds method. This research provides the possibility to
extend many-interacting-worlds method to non-Gaussian quantum systems.
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