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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10304 - Nuclear physics
Result continuities
Project
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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
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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
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