Schrodinger-Newton equation with a complex Newton constant and induced gravity

被引：5

作者：

Diosi, Lajos ^{[1
]}

Papp, Tibor Norbert ^{[2
]}

机构：

[1] Res Inst Particle & Nucl Phys, H-1525 Budapest 114, Hungary

[2] Eotvos Lorand Univ, Dept Phys Complex Syst, H-1518 Budapest, Hungary

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 36期

关键词：

Schrodinger-Newton equation; Imaginary mean-field; Induced Newtonian gravity; Solitons; Pointer states; GRAVITATIONAL SELF-INTERACTION; QUANTUM-MECHANICS; STATE REDUCTION;

D O I：

10.1016/j.physleta.2009.07.020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the reversible Schrodinger-Newton equation a complex Newton coupling Gexp(-i alpha) is proposed in place of G. The equation becomes irreversible and all initial one-body states are expected to converge to solitonic stationary states. This feature is verified numerically. For two-body solutions we point out that an effective Newtonian interaction is induced by the imaginary mean-fields as if they were real. The effective strength of such induced gravity depends on the local wave functions of the participating distant bodies. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：3244 / 3247

页数：4

共 19 条

[1] Comments on proposed gravitational modifications of Schrodinger dynamics and their experimental implications [J].

Adler, Stephen L. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (04) :755-763

[2] Eigenstates of the gravitational Schrodinger equation [J].

Bernstein, DA ;

Giladi, E ;

Jones, KRW .

MODERN PHYSICS LETTERS A, 1998, 13 (29) :2327-2336

[3] MODELS FOR UNIVERSAL REDUCTION OF MACROSCOPIC QUANTUM FLUCTUATIONS [J].

DIOSI, L .

PHYSICAL REVIEW A, 1989, 40 (03) :1165-1174

[4] A UNIVERSAL MASTER EQUATION FOR THE GRAVITATIONAL VIOLATION OF QUANTUM-MECHANICS [J].

DIOSI, L .

PHYSICS LETTERS A, 1987, 120 (08) :377-381

[5] GRAVITATION AND QUANTUM-MECHANICAL LOCALIZATION OF MACRO-OBJECTS [J].

DIOSI, L .

PHYSICS LETTERS A, 1984, 105 (4-5) :199-202

[6] Does wave function collapse cause gravity? [J].

Diosi, Lajos .

FOURTH INTERNATIONAL WORKSHOP DICE 2008: FROM QUANTUM MECHANICS THROUGH COMPLEXITY TO SPACETIME: THE ROLE OF EMERGENT DYNAMICAL STRUCTURES, 2009, 174

[7] The frictional Schrodinger-Newton equation in models of wave function collapse [J].

Djosi, Lajos .

THIRD INTERNATIONAL WORKSHOP DICE2006 - QUANTUM MECHANICS BETWEEN DECOHERENCE AND DETERMINISM: NEW ASPECTS FROM PARTICLE PHYSICS TO COSMOLOGY, 2007, 67

[8] Gravitational self-localization in quantum measurement [J].

Geszti, T .

PHYSICAL REVIEW A, 2004, 69 (03) :032110-1

[9] WEINBERG NON-LINEAR QUANTUM-MECHANICS AND SUPRALUMINAL COMMUNICATIONS [J].

GISIN, N .

PHYSICS LETTERS A, 1990, 143 (1-2) :1-2

[10] Quantum defect analysis of the eigenvalue spectrum of the Newton-Schrodinger equation [J].

Greiner, Daniel ;

Wunner, Guenter .

PHYSICAL REVIEW A, 2006, 74 (05)

← 1 2 →