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- W3100874490 abstract "Abstract We present the exact solution of the 1D Dirac equation for the inverse-square-root potential <m:math xmlns:m=http://www.w3.org/1998/Math/MathML overflow=scroll> <m:mrow> <m:mrow> <m:mn>1</m:mn> <m:mo>/</m:mo> <m:mrow> <m:msqrt> <m:mi>x</m:mi> </m:msqrt> </m:mrow> </m:mrow> </m:mrow> </m:math> $1/sqrt{x}$ for several configurations of vector, pseudo-scalar, and scalar fields. Each fundamental solution of the problem can be written as an irreducible linear combination of two Hermite functions of a scaled and shifted argument. We derive the exact equations for bound-state energy eigenvalues and construct accurate approximations for the energy spectrum." @default.
- W3100874490 created "2020-11-23" @default.
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- W3100874490 date "2020-08-14" @default.
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- W3100874490 title "Exact solution of the 1D Dirac equation for the inverse-square-root potential 1/x$1/sqrt{x}$" @default.
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- W3100874490 doi "https://doi.org/10.1515/zna-2020-0083" @default.
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