Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Radosław Szmytkowski"'
Autor:
Radosław Szmytkowski
A model in which a Dirac particle in $\mathbb{R}^{3}$ is bound by $N\geqslant1$ spatially distributed zero-range potentials is presented. Interactions between the particle and the potentials are modeled by subjecting a particle's bispinor wave functi
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80d0dec848ff7b6e2d7f3d3cb1f66e71
Autor:
Radosław Szmytkowski
Publikováno v:
Integral Transforms and Special Functions. 28:645-662
We provide closed-form expressions for the degree-derivatives [∂2Pν(z)/∂ν2]ν=n and [∂Qν(z)/∂ν]ν=n, with z∈C and n∈N0, where Pν(z) and Qν(z) are the Legendre functions of the first and the second kind, respectively. For [∂2Pν(z)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e444f82dc6555cf57ee17ac91d277b1b
https://doi.org/10.1080/10652469.2017.1339039
https://doi.org/10.1080/10652469.2017.1339039
Autor:
Radosław Szmytkowski, Grzegorz Łukasik
Publikováno v:
Atomic Data and Nuclear Data Tables. :41-66
We present tabulated data for several families of static electric and magnetic multipole susceptibilities for hydrogenic atoms with nuclear charge numbers from the range 1 ⩽ Z ⩽ 137 . Atomic nuclei are assumed to be point-like and spinless. The s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ba27c8296953aab938d0434095cb4a9
https://doi.org/10.1016/j.adt.2016.02.002
https://doi.org/10.1016/j.adt.2016.02.002
Autor:
Radosław Szmytkowski, Grzegorz Łukasik
Publikováno v:
Physical Review A. 98
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c9478c82fd370367bcdfffb041c7627
https://doi.org/10.1103/physreva.98.022502
https://doi.org/10.1103/physreva.98.022502
Autor:
Radosław Szmytkowski
We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the Rayleigh-Schr\"odinger perturbation theory, using the Sturmian expansion o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::960dc6e1d3f4a88535ccb00bf45b9011
http://arxiv.org/abs/1806.03477
http://arxiv.org/abs/1806.03477
Autor:
Radosław Szmytkowski
A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the first- and second-order Zeeman corrections to energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b138d3722c979dc871e481e6b2578b3
Autor:
Radosław Szmytkowski
Publikováno v:
Journal of Mathematical Physics. 61:012103
We derive two equivalent analytical expressions for an lth partial-wave scattering length al for central potentials with long-range tails of the form V(r)=−ℏ22mBrn−4(rn−2 + Rn−2)2−ℏ22mCr2(rn−2 + Rn−2), (r ⩾ rs, R > 0). For C = 0,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cefbd0afc5e58b17c2bce608df54f6f
https://doi.org/10.1063/1.5140726
https://doi.org/10.1063/1.5140726
Publikováno v:
Integral Transforms and Special Functions. 25:312-317
The integral , involving the on-the-cut generalized associated Legendre functions of the first kind with ν∈ℂ, Reλ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee2fe34722faf8cfdc5ba0ec18c9dd08
https://doi.org/10.1080/10652469.2013.842235
https://doi.org/10.1080/10652469.2013.842235
Autor:
Grzegorz Łukasik, Radosław Szmytkowski
Publikováno v:
Physical Review A. 93
The ground state of the Dirac one-electron atom, placed in a weak, static electric field of definite $2^{L}$-polarity, is studied within the framework of the first-order perturbation theory. The Sturmian expansion of the generalized Dirac-Coulomb Gre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::353185b9ee132af3031a2f04b6dc745b
https://doi.org/10.1103/physreva.93.062502
https://doi.org/10.1103/physreva.93.062502
Autor:
Radosław Szmytkowski
Publikováno v:
Annalen der Physik. 524:345-352
The Schrodinger–Coulomb problem in R N , N � 2 ,i s considered in the momentum representation. The adjoint Sturmian eigenvalue problem is discussed first. The resulting radial integral equation is solved with the aid of a symmetric Poisson-type s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db94171480f4772e1dd72a70a027220a
https://doi.org/10.1002/andp.201100330
https://doi.org/10.1002/andp.201100330