Symmetrized quartic polynomial oscillators and their partial exact solvability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00459199" target="_blank" >RIV/61389005:_____/16:00459199 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.physleta.2016.02.035" target="_blank" >http://dx.doi.org/10.1016/j.physleta.2016.02.035</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2016.02.035" target="_blank" >10.1016/j.physleta.2016.02.035</a>

Result language
angličtina
Original language name
Symmetrized quartic polynomial oscillators and their partial exact solvability
Original language description
Sextic polynomial oscillator is probably the best known quantum system which is partially exactly alias quasi-exactly solvable (QES), i.e., which possesses closed-form, elementary-function bound states psi(x) at certain couplings and energies. In contrast, the apparently simpler and phenomenologically more important quartic polynomial oscillator is not QES. A resolution of the paradox is proposed: The one-dimensional Schrodinger equation is shown QES after the analyticity-violating symmetrization V(x)= A vertical bar x vertical bar + Bx(2) C vertical bar x vertical bar(3) + x(4) of the quartic polynomial potential.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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