Szmytkowski, Radosław: search on Z-Library

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1

Derivation of Schwinger variational principles

Radosław Szmytkowski

Journal:

Physics Letters A

Year:

2003

Language:

english

File:

PDF, 180 KB

english, 2003

2

Electric and magnetic dipole shielding constants for the ground state of the relativistic hydrogen-like atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

Patrycja Stefańska, Radosław Szmytkowski

Journal:

International Journal of Quantum Chemistry

Year:

2012

Language:

english

File:

PDF, 143 KB

english, 2012

3

An orthogonality relation for the Whittaker functions of the second kind of imaginary order

Szmytkowski, Radosław, Bielski, Sebastian

Journal:

Integral Transforms and Special Functions

Year:

2010

Language:

english

File:

PDF, 86 KB

english, 2010

4

Closed forms of the Green's function and the generalized Green's function for the Helmholtz operator on the N -dimensional unit sphere

Szmytkowski, Radosław

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2007

Language:

english

File:

PDF, 218 KB

english, 2007

5

Comment on “A simpler solution of the Dirac equation in a Coulomb potential,” by Bernard Goodman and Siniša R. Ignjatović [Am. J. Phys. 65 (3), 214–221 (1997)]

Szmytkowski, Radosław

Journal:

American Journal of Physics

Year:

1998

Language:

english

File:

PDF, 272 KB

english, 1998

6

Closed form of the generalized Green’s function for the Helmholtz operator on the two-dimensional unit sphere

Szmytkowski, Radosław

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 358 KB

english, 2006

7

The relativistic multi-channel variable phase method for solving asymptotic equations in electron-atom and electron-ion scattering

Radosław Szmytkowski

Journal:

Computer Physics Communications

Year:

1995

Language:

english

File:

PDF, 301 KB

english, 1995

8

Eigenchannel method in quantum potential scattering

Radosław Szmytkowski

Journal:

Annals of Physics

Year:

2004

Language:

english

File:

PDF, 450 KB

english, 2004

9

Relationship between the static dipole polarizability and the static dipole magnetizability of the relativistic hydrogen-like atom

Radosław Szmytkowski

Journal:

Chemical Physics Letters

Year:

2006

Language:

english

File:

PDF, 99 KB

english, 2006

10

Comment on the orthogonality of the Macdonald functions of imaginary order

Radosław Szmytkowski, Sebastian Bielski

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 117 KB

english, 2010

11

Ingoing and outgoing waves in the non-relativistic theory of photoionization

Radosław Szmytkowski, Marek Gruchowski

Journal:

Journal of Quantitative Spectroscopy and Radiative Transfer

Year:

2005

Language:

english

File:

PDF, 229 KB

english, 2005

12

Analogs of the Hellmann–Feynman theorem in the R-matrix theory

Radosław Szmytkowski

Journal:

Physics Letters A

Year:

2001

Language:

english

File:

PDF, 113 KB

english, 2001

13

Quantum proximity resonances

Radosław Szmytkowski, Czesław Szmytkowski

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 404 KB

english, 1997

14

A generalization of Wigner's R-matrix method

Radosław Szmytkowski

Journal:

Physics Letters A

Year:

1998

Language:

english

File:

PDF, 777 KB

english, 1998

15

Relativistic theory of photoionization of one-electron systems: an eigenchannel R-matrix approach

Marek Gruchowski, Radosław Szmytkowski

Journal:

Radiation Physics and Chemistry

Year:

2003

Language:

english

File:

PDF, 130 KB

english, 2003

16

Variational principles for bound states of Schrödinger and Dirac equations allowing the use of discontinuous trial functions

Radosław Szmytkowski, Sebastian Bielski

Journal:

International Journal of Quantum Chemistry

Year:

2004

Language:

english

File:

PDF, 144 KB

english, 2004

17

A Hartree–Fock approach to the Steklov eigenproblem for a two-electron atom in an s2state

Radosław Szmytkowski

Journal:

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)

Year:

2010

Language:

english

File:

PDF, 284 KB

english, 2010

18

Recurrence and Differential Relations for Spherical Spinors

Radosław Szmytkowski

Journal:

Journal of Mathematical Chemistry

Year:

2007

Language:

english

File:

PDF, 147 KB

english, 2007

19

On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order)

Radosław Szmytkowski

Journal:

Journal of Mathematical Chemistry

Year:

2011

Language:

english

File:

PDF, 454 KB

english, 2011

20

Scalar wave diffraction from zero‐range scatterers

Radosław Szmytkowski, Czesław Szmytkowski

Journal:

Journal of Mathematical Chemistry

Year:

1999

Language:

english

File:

PDF, 132 KB

english, 1999

21

On parameter derivatives of the associated Legendre function of the first kind (with applications to the construction of the associated Legendre function of the second kind of integer degree and order)

Radosław Szmytkowski

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 194 KB

english, 2012

22

On the derivative of the associated Legendre function of the first kind of integer degree with respect to its order (with applications to the construction of the associated Legendre function of the second kind of integer degree and order)

Radosław Szmytkowski

Journal:

Journal of Mathematical Chemistry

Year:

2009

Language:

english

File:

PDF, 313 KB

english, 2009

23

The Dirac - Coulomb Sturmians and the series expansion of the Dirac - Coulomb Green function: application to the relativistic polarizability of the hydrogen-like atom

Szmytkowski, Radoslaw

Journal:

Journal of Physics B Atomic Molecular and Optical Physics

Year:

1997

Language:

english

File:

PDF, 423 KB

english, 1997

24

Operator formulation of Wigner’s R-matrix theories for the Schrödinger and Dirac equations

Szmytkowski, Radosław

Journal:

Journal of Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 630 KB

english, 1998

25

Some integrals and series involving the Gegenbauer polynomials and the Legendre functions on the cut (−1, 1)

Szmytkowski, Radosław

Journal:

Integral Transforms and Special Functions

Year:

2012

Language:

english

File:

PDF, 107 KB

english, 2012

26

A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices

Szmytkowski, Radosław, Bielski, Sebastian

Journal:

Integral Transforms and Special Functions

Year:

2014

Language:

english

File:

PDF, 115 KB

english, 2014

27

Magnetic-field-induced electric quadrupole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

Szmytkowski, Radosław, Stefańska, Patrycja

Journal:

Physical Review A

Year:

2012

Language:

english

File:

PDF, 340 KB

english, 2012

28

Larmor diamagnetism and Van Vleck paramagnetism in relativistic quantum theory: The Gordon decomposition approach

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2002

Language:

english

File:

PDF, 98 KB

english, 2002

29

Publisher's Note: Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function [Phys. Rev. A 73 , 022511 (2005)]

Mielewczyk, Krzysztof, Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2006

File:

PDF, 22 KB

2006

30

Reply to “Comment on ‘Zero-range potentials for Dirac particles: Scattering and related continuum problems’ ”

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2006

Language:

english

File:

PDF, 88 KB

english, 2006

31

-matrix methods for many-electron systems: Unified nonrelativistic theory [Phys. Rev. A 61 , 022725 (2000)]

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2002

File:

PDF, 18 KB

2002

32

Variational R -matrix methods for many-electron systems: Unified nonrelativistic theory

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2000

Language:

english

File:

PDF, 231 KB

english, 2000

33

Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

Mielewczyk, Krzysztof, Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2006

Language:

english

File:

PDF, 134 KB

english, 2006

34

Sturmian basis functions for the harmonic oscillator

Szmytkowski, Radosław, Żywicka-Możejko, Bożena

Journal:

Physical Review A

Year:

2000

Language:

english

File:

PDF, 91 KB

english, 2000

35

Electric-field-induced magnetic quadrupole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

Szmytkowski, Radosław, Stefańska, Patrycja

Journal:

Physical Review A

Year:

2014

Language:

english

File:

PDF, 133 KB

english, 2014

36

-matrix methods for many-electron systems: Unified relativistic theory

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2001

Language:

english

File:

PDF, 205 KB

english, 2001

37

Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2001

Language:

english

File:

PDF, 107 KB

english, 2001

38

Zero-range potentials for Dirac particles: Scattering and related continuum problems

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

2005

Language:

english

File:

PDF, 197 KB

english, 2005

39

Discontinuities in Dirac eigenfunction expansions

Szmytkowski, Radosław

Journal:

Journal of Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 352 KB

english, 2001

40

Dirichlet-to-Neumann and Neumann-to-Dirichlet embedding methods for bound states of the Schrödinger equation

Szmytkowski, Radosław, Bielski, Sebastian

Journal:

Physical Review A

Year:

2004

Language:

english

File:

PDF, 122 KB

english, 2004

41

asymptotics

Szmytkowski, Radosław, Mielewczyk, Krzysztof

Journal:

Physical Review A

Year:

2004

Language:

english

File:

PDF, 46 KB

english, 2004

42

-matrix methods for the Dirac equation

Szmytkowski, Radosław

Journal:

Physical Review A

Year:

1998

Language:

english

File:

PDF, 297 KB

english, 1998

43

Eigenchannel method for nonrelativistic scattering from zero-range potentials

Szmytkowski, Radosław, Gruchowski, Marek

Journal:

Physical Review A

Year:

2004

Language:

english

File:

PDF, 103 KB

english, 2004

44

The continuum Schrödinger-Coulomb and Dirac-Coulomb Sturmian functions

Szmytkowski, Radoslaw

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1998

Language:

english

File:

PDF, 412 KB

english, 1998

45

Remarks on completeness of many-electron Sturmians

Szmytkowski, Radoslaw

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2000

Language:

english

File:

PDF, 92 KB

english, 2000

46

A unified construction of variational R -matrix methods: I. The Schrödinger equation

Szmytkowski, Radoslaw

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1997

Language:

english

File:

PDF, 337 KB

english, 1997

47

Kapur - Peierls and Wigner R -matrix theories for the Dirac equation

Szmytkowski, Radoslaw, Hinze, Jürgen

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1996

Language:

english

File:

PDF, 194 KB

english, 1996

48

Convergence of the non-relativistic and relativistic R -matrix expansions at the reaction volume boundary

Szmytkowski, Radoslaw, Hinze, Jürgen

Journal:

Journal of Physics B Atomic Molecular and Optical Physics

Year:

1996

Language:

english

File:

PDF, 197 KB

english, 1996

49

The Dirac-Coulomb Sturmian functions in the Z = 0 limit: properties and applications to series expansions of the Dirac Green function and the Dirac plane wave

Szmytkowski, Radoslaw

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2000

Language:

english

File:

PDF, 205 KB

english, 2000

50

Green's function for the wavized Maxwell fish-eye problem

Szmytkowski, Radosław

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 193 KB

english, 2011