Nonlinear Schrödinger equation in foundations: Summary of 4 catches

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Abstract

Fundamental modifications of the standard Schrödinger equation by additional nonlinear terms have been considered for various purposes over the recent decades. It came as a surprise when, inverting Abner Shimonyi's observation of "peaceful coexistence" between standard quantum mechanics and relativity, N. Gisin proved in 1990 that any (deterministic) nonlinear Schrödinger equation would allow for superluminal communication. This is by now the most spectacular and best known anomaly. We discuss further anomalies, simple but foundational, less spectacular but not less dramatic.

Original languageEnglish
Article number012019
JournalJournal of Physics: Conference Series
Volume701
Issue number1
DOIs
Publication statusPublished - Mar 30 2016

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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