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

Lajos Diósi, Tibor Norbert Papp

Research output: Contribution to journalArticle

4 Citations (Scopus)


In the reversible Schrödinger-Newton equation a complex Newton coupling G exp (- i α) 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.

Original languageEnglish
Pages (from-to)3244-3247
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number36
Publication statusPublished - Aug 31 2009


  • Imaginary mean-field
  • Induced Newtonian gravity
  • Pointer states
  • Schrödinger-Newton equation
  • Solitons

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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