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Quantum star-graph analogues of PT-symmetric square wells: Part II, spectra

Result description

For the non-Hermitian equilateral q-pointed star-shaped quantum graphs of our previous paper (Can. J. Phys. 90, 1287 (2012) doi: 10.1139/p2012-107) we show that because of certain dynamical aspects of the model as controlled by the external, rotation-symmetric complex Robin boundary conditions, the spectrum is obtainable in a closed asymptotic-expansion form, in principle at least. Explicit formulae up to the second order are derived for illustration, and a few comments on their consequences are added.

Keywords

mechanicsoperatorsadjointspace

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum star-graph analogues of PT-symmetric square wells: Part II, spectra

  • Original language description

    For the non-Hermitian equilateral q-pointed star-shaped quantum graphs of our previous paper (Can. J. Phys. 90, 1287 (2012) doi: 10.1139/p2012-107) we show that because of certain dynamical aspects of the model as controlled by the external, rotation-symmetric complex Robin boundary conditions, the spectrum is obtainable in a closed asymptotic-expansion form, in principle at least. Explicit formulae up to the second order are derived for illustration, and a few comments on their consequences are added.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Canadian Journal of Physics

  • ISSN

    0008-4204

  • e-ISSN

  • Volume of the periodical

    93

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    CA - CANADA

  • Number of pages

    4

  • Pages from-to

    765-768

  • UT code for WoS article

    000357274200009

  • EID of the result in the Scopus database

    2-s2.0-84934290802

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BE - Theoretical physics

Year of implementation

2015