Construction of Parity-Time Symmetric Potential through the Soliton Theory

• Wadati Miki

  Department of Physics, Faculty of Science, Tokyo University of Science

Abstract

A systematic method is presented for the construction of the parity-time (PT) symmetric potentials. The key idea is the transformation between Dirac type and Schrödinger type eigenvalue problems in the inverse scattering method. As a standard example, the modified Korteweg–de Vries (mKdV) equation is considered. There exists a PT symmetric potential corresponding to a soliton solution. One- and two-soliton PT symmetric potentials are given explicitly. The extensions of the theory into other types of solutions and other soliton equations are discussed.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 77 (7), 074005-074005, 2008

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• PT symmetric potential
• PT invariant potential
• modified Korteweg–de Vries equation
• inverse scattering method
• parity-time symmetry
• non-hermitian Hamiltonian

Details

• CRID: 1390001204197741056
• NII Article ID: 130005436519
• NII Article ID: 110006821296
• NII Article ID: 210000107316
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.77.074005
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 9576859
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9576859
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.77.074005
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed