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Analytical solution of the Klein Gordon equation with a multi-parameter q-deformed Woods-Saxon type potential

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50015220" target="_blank" >RIV/62690094:18470/18:50015220 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/content/pdf/10.1140/epjp/i2018-12299-y.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1140/epjp/i2018-12299-y.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1140/epjp/i2018-12299-y" target="_blank" >10.1140/epjp/i2018-12299-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analytical solution of the Klein Gordon equation with a multi-parameter q-deformed Woods-Saxon type potential

  • Original language description

    In this manuscript, we present an analytical solution of the Klein-Gordon equation with the multi-parameter q-deformed Woods-Saxon type potential energy under the spin symmetric limit in (1+1) dimension. In the scattering case, we obtain the reflection and transmission probabilities and prove the conservation of the total probability. Moreover, we analyze the correlation between the potential parameters with the reflection and transmission probabilities. In the bound state case, we use the continuity conditions and derive a quantization scheme. To confirm our results numerically, in both cases we randomly assign values to the potential parameters and find numerical results by using the Newton Raphson method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10304 - Nuclear physics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    The European physical journal plus

  • ISSN

    2190-5444

  • e-ISSN

  • Volume of the periodical

    133

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    17

  • Pages from-to

    1-17

  • UT code for WoS article

    000453832600003

  • EID of the result in the Scopus database