A QUANTUM POTENTIAL APPROACH FOR THE GRAVITATIONAL SCHRÖDINGER EQUATION AND ITS REDUCTION INTO THE LANE–EMDEN EQUATION OF INDEX 2-Reference-Cited by-同舟云学术

A QUANTUM POTENTIAL APPROACH FOR THE GRAVITATIONAL SCHRÖDINGER EQUATION AND ITS REDUCTION INTO THE LANE–EMDEN EQUATION OF INDEX 2

Published:1999-12-14 Issue:38 Volume:14 Page:2667-2672
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

LAN DANG MONG¹²

Affiliation:

1. Center for Advanced Science and Technology, Dong Do University, 38 Ngo Quyen, Hanoi, Vietnam

2. National Institute for Science and Technology Policy and Strategy Studies, 38 Ngo Quyen, Hanoi, Vietnam

Abstract

It is shown that the eigenvalue equation in the Jones' treatment of gravitational self-energy may be obtained from a model of extended particles using the quantum potential in the causal interpretation of quantum mechanics and reduced to the Lane–Emden equation of index 2 that has been discussed extensively in the theory of stellar evolution.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732399002807

Reference11 articles.

1. GRAVITATIONAL SELF-ENERGY AS THE LITMUS OF REALITY

2. Use of scaling plots in phase-transition studies

3. EIGENSTATES OF THE GRAVITATIONAL SCHRÖDINGER EQUATION

5. An ontological basis for the quantum theory

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Series Solution of the Time-Dependent Schrödinger–Newton Equations in the Presence of Dark Energy via the Adomian Decomposition Method;Symmetry;2023-01-30

2. The effects of the dark energy on the static Schrödinger–Newton system — An Adomian Decomposition Method and Padé approximants based approach;Modern Physics Letters A;2021-01-27

3. MASS SPECTRUM OF QUANTUM BLACK HOLES FROM NEWTONIAN-GRAVITY AND QUANTUM-POTENTIAL APPROACH;Modern Physics Letters A;2007-12-07

4. QUANTUM POTENTIAL APPLIED IN THE COUPLING OF CLASSICAL GRAVITY AND QUANTUM MECHANICS;Modern Physics Letters A;2003-11-30