Homepage of Walter Johnson (Notre Dame University)

email: johnson@nd.edu

Teaching Material

Course Material for Physics 356 E&M -- Fall (2003) (WebCT)

Course Material for Physics 357 Electromagnetic Waves -- Spring (2004) (WebCT)

Course Material for Physics 80301 Atomic Physics I -- Fall (2005) (WebCT- Vista)

Material for C. E. A. Lectures -- July (2005)

Material for E&M and Atomic Physics I (2007-2008)

Meeting with Physics Grad. Students (circa 1965).

Research Areas

• Relativistic and correlation effects in heavy atoms, including relativistic Hartree Fock calculations, relativistic many-body perturbation theory (MBPT) calculations, and iterative singles-doubles (SD) all-order methods. Present efforts:
  1. Nonlinear terms in SD coupled cluster equations.
  2. Third-Order MBPT for systems with two valence electrons.
  3. Extending the SD method to systems with two or three valence electrons.
• Applications of MBPT to give accurate energies, transition rates, and hyperfine constants for low-lying levels of ions in various isoelectronic sequences. These studies include the Li, Na, Cu, Ne, Be, B, Mg, Pd, and Ag sequences. Applications of all-order SD methods to alkali-metal atoms from Li to Fr.
• Weak interactions in heavy atoms atoms. Calculations of PNC amplitudes and electric dipole enhancement factors.
• CI calculations of energies, transition probabilities, hyperfine quenching, polarizabilities, and two-photon transitions in heliumlike ions.
• Applications of the relativistic random-phase approximation (RRPA) to photoionization, including non-dipole corrections to angular distributions.
• Average atom model of a plasma and the Ziman theory of conductivity in the average-atom approximation. Kubo-Greenwood theory in the average atom approximation applied to the frequency-dependent conductivity and optical response of a warm dense plasma. Compton Scattering of xrays in the average-atom approxination.

Activities (1958-2005)

Activities (2006-2008)

• Participant in "Workshop on Computational Atomic Physics," Santa Fe, NM, Jun 28-30, 2006.
• Invited talk entitled B-spline Basis Sets in Relativistic Many-Body Calculations, at the "Workshop on Computational Atomic Physics," Santa Fe, NM, Jun 2-30, 2006.
• Participant in Conference "20 Years of Spectroscopy with the Electron Beam Ion Trap", Berkeley, CA, Nov 12-16, 2006.
• Two lectures at the conference "Cross-talks in the physics of many-body systems" entitled Many-Body Methods Applied to Parity Nonconserving Transitions in Atoms: The Weak Charge and Anapole Moment of ¹³³Cs
  1. Atomic Theory Considerations
  2. Weak Interaction Considerations
  Institute Henri Poincaré, Paris, Dec. 6-8, 2006.
• Seminar entitled B-spline Basis Sets in Relativistic Many-Body Calculations, Department of Physics and Astronomy, University of Delaware Oct. 8, 2007.
• Organizer of Program entitled Atomic, Chemical, and Nuclear Developments in Coupled Cluster Methods, Institute for Nuclear Theory, University of Washington, Seattle, June 23-July 25, 2008.
• Talk entitled Parity Nonconservation in Atoms: The Weak Charge and Anapole Moment of ¹³³Cs at the Symposium 50 Years of Coupled Cluster Theory, Institute for Nuclear Theory, University of Washington, Seattle, July 2, 2008.
• Consultant, Lawrence Livermore National Laboratory, Livermore CA, Aug. 1 - Aug 13, 2008.
• Seminar entitled Low Frequency Plasma Conductivity in the Average-Atom Approximation, Lawrence Livermore National Laboratory, Livermore, CA, Aug. 10 , 2008.
• Participant in Dalgarno Celebratory Symposium, Harvard University, Cambridge MA, Sept. 10-12, 2008.
• Participant in workshop on "Radiative Properties of Hot Dense Matter - RPHDM08," Santa Barbara, CA, Nov 10-14, 2008.
• Talk entitled Low Frequency Conductivity in the Average Atom Approximation at the workshop on "Radiative Properties of Hot Dense Matter," Santa Barbara CA, Nov. 13, 2008.
• Participant in workshop on "Matter in Extreme Conditions," SLAC National Accelerator Laboratory, Menlo Park, CA, April 13-15, 2009.
• Colloquium entitled Xray Dispersion and Scattering in the Average-Atom Model of a Plasma, Department of Physics, University of Nevada (Reno), Aug. 28 (2009).
• Member of Panel on "Atomic Physics of High-Z Atoms" at the Department of Energy "Research Needs Workshop" (ReNeW) for "High Energy Density Laboratory Plasmas" (HEDLP), Rockville, MD, Nov. 15-18 (2009).

Publications (1958-2006)

Publications (2007-2009)

Atomic Structure Theory: Lectures on Atomic Physics, Walter R. Johnson, Springer Verlag, Berlin (ISBN 978-3-540-68010-9). A textbook on atomic structure for students with a background in quantum mechanics. (Available from amazon.com 2007) Supplementary material for this book is available at Atomic Structure Material

1. Revised Transition Probabilities for Fe XXV: Relativistic CI Calculations, W. R. Johnson and U. I. Safronova, Atomic Data and Nuclear Data Tables 93, 139-147 (2007). PDF preprint
2. Relativistic coupled-cluster single-double method applied to alkali-metal atoms, Rupsi Pal, M. S. Safronova, W. R. Johnson, Andrei Derevianko, and Sergey G. Porsev, Phys. Rev. A 75, 042515 (2007) arXiv:physics/0702090
3. Multiply ionized carbon plasmas with index of refraction greater than one, J. Filevich, J. Grava, M. Purvis, M. C. Marconi, J. J. Rocca, J. Nilsen, J. Dunn, and W. R. Johnson, Laser and Particle Beams 25, 47-51 (2007) PDF
4. Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence, U. I. Safronova, W. R. Johnson, M. S. Safronova, Phys. Rev. A76, 042504 (2007). arXiv:0706.1816
5. Erratum: Relativistic many-body calculations of transition rates for Ca⁺, Sr⁺, and Ba⁺ [Phys. Rev. A44, 1531 (1991)], C. Guet and W. R. Johnson, Phys. Rev. A76, 039905(E) (2007). PDF
6. Searching for plasmas with anomalous dispersion in the soft X-ray regime, Joseph Nilsen, Walter R. Johnson, and K. T. Cheng, in "Soft X-Ray Lasers and Applications VII", eds. Gregory J. Tallents and James Dunn, Proc. of SPIE Vol. 6702, 67020N (2007). PDF
7. Coupled-cluster single-double calculations of the relativistic energy shifts in C IV, Na I, Mg II, Al III, Si IV, Ca II and Zn II, V. A. Dzuba and W. R. Johnson, Phys. Rev. A76, 062510, 1-6 (2007). PDF
8. All-Order Methods for Relativistic Atomic Structure Calculations, M. S. Safronova and W. R. Johnson, in Advances in Atomic, Molecular, and Optical Physics, Vol. 55, Eds. E. Arimondo, P. R. Berman, and C. C. Lin, (Academic Press, 2008), pp. 191-233. PDF
9. Muonic atoms with extreme nuclear charge, V. V. Flambaum and W. R. Johnson, Phys. Rev. A77, 014501, 1-2 (2008). arXiv:0711.1184v2
10. Theoretical and Experimental Demonstration of the Existence of Quadrupole Cooper minima, P. C. Deshmukh, T. Bannerjee, H. R. Varma, O. Hemmers, R. Guillemin, D. Rolles, A. Wolska, S. W. Wu, D. W. Lindle, W. R. Johnson, and S. T. Manson, J. Phys. B 41, 021002, 1-5 (2008). PDF
11. Hyperfine structure of the metastable ³P₂ state of alkaline earth atoms as an accurate probe of nuclear magnetic octupole moments, K. Beloy, A. Derevianko, and W. R. Johnson, Phys. Rev. A 77, 012512, 1-10 (2008). PDF
12. High-precision relativistic atomic structure calculations and the EBIT: Tests of QED in highly-charged ions, K. T. Cheng, M. H. Chen, W. R. Johnson, and J. Sapirstein, Can. J. Phys. 86, 33-43 (2008). PDF preprint
13. Relativistic many-body calculation of energies, lifetimes, hyperfine constants, and polarizabilities in ⁷Li, W. R. Johnson, U. I. Safronova, A. Derevianko, and M. S. Safronova, Phys. Rev. A 77, 022510, 1-9 (2008). PDF
14. Relativistic many-body calculations of the energies of n = 4 states along the zinc isoelectronic sequence, S. A. Blundell, W. R. Johnson, M. S. Safronova, and U. I. Safronova, Phys. Rev. A77, 032507, 1-16 (2008). PDF
15. Hyperfine quenching of the 2s2p ³P₀ state of berylliumlike ions, K. T. Cheng, M. H. Chen, and W. R. Johnson, Phys. Rev. A77, 052504, 1-14 (2008). PDF
16. Low-frequency plasma conductivity in the average-atom approximation, M. Yu. Kuchiev and W. R. Johnson, Phys. Rev. E 78, 026401, 1-8 (2008). arXiv:0804.4182
17. Modèle de l'atome moyne et propriétés optiques des plasmas denses et chauds W. R. Johnson, C. Guet, and G. F. Bertsch, Chocs (Physique Atomique dans les Plasmas) 36, 29-37 (2008).
18. Understanding the anomalous dispersion of doubly-ionized carbon plasmas near 47 nm, Joseph Nilsen, John I. Castor, Carlos A. Iglesias, K.T. Cheng, James Dunn, Walter R. Johnson, Jorge Filevich, Michael A. Purvis, Jonathan Grava and Jorge J. Rocca, High Energy Density Physics 4 107-113 (2008), doi:10.1016/j.hedp.2008.05.003
19. Observation of the Nuclear Magnetic Octupole Moment of ⁸⁷Rb from Spectroscopic Measurements of Hyperfine Intervals, Vladislav Gerginov, Carol E. Tanner, and W. R. Johnson, Canadian Jourmal of Physics 87 101-104 (2009) arXiv:0810.5745
20. Low-frequency plasma conductivity in the average-atom approximation, W. R. Johnson, High Energy Density Physics 5 61-67 (2009) - DOI information: 10.1016/j.hedp.2009.03.007 Reprint
21. New directions in atomic PNC, M. S. Safronova, Rupsi Pal, Dasha Jiang, Mikhail Kozlov, W. R. Johnson, and U. I. Safronova, Nucl. Phys. A827 411c-413c (2009). PDF
22. Blackbody Radiation Shifts and Theoretical Contributions to Atomic Clock Research, Safronova, Marianna; Jiang, Dansha; Arora, Bindiya; Clark, Charles; Kozlov, Mikhail; Safronova, Ulyana; Johnson, Walter, Accepted for publication in Transactions on Ultrasonics, Ferroelectrics, and Frequency Control (2009). PDF
23. Development of a configuration-interaction plus all-order method for atomic calculations, M.S. Safronova, M.G. Kozlov, W.R. Johnson, and Dansha Jiang, Phys. Rev. A80 012516, 1-10 (2009). arXiv:0905.2578
24. Two Photon Transitions in Ca⁺, Sr,⁺ and Ba⁺, W. R. Johnson, U. I. Safronova, and M.S. Safronova, J. Phys. B, Submitted for publication (2009). PDF
25. Advances in understanding the anomalous dispersion of plasmas in the X-ray regime, Joseph Nilsen, K. T. Cheng, and Walter R. Johnson, in X-ray Lasers 2008 Springer Proceedings in Physics 130, Lewis Ciran and Dave Riley, eds. (Springer, Dordrecht, The Netherlands, 2009) pp, 221-238 [LLNL-PROC-407244].
26. Relativistic many-body calculations of dielectronic satellite spectra created by autoionizing 1s2l2l' states in Li-like ions, UI Safronova, AS Safronova and WR Johnson, J. Phys. B: At. Mol. Opt. Phys. 43 000000 (2010). PDF

Other (Unpublished) Atomic Physics Material

• Non-dipole angular distribution parameters for rare gas atoms (graphs), W. R. Johnson (1999). PDF - 204K
• Non-dipole angular distribution parameters for rare gas atoms (tables), W. R. Johnson (1999). TableI.txt TableII.txt
• Auger rates for Argon and Ni-like ions, W. R. Johnson (1999). Argon: PDF - 6K and Ni-like: PDF - 15K
• Notes on weak interactions in atoms, W. R. Johnson (1999). PDF - 110K
• Photodetachment of I-, W. R. Johnson (1999). PDF - 11K
• Error Analysis for the C₆ Coefficient in Rb, M. S. Safronova and W. R. Johnson (1999). PDF - 45K
• Mott Scattering, W. R. Johnson (1965). PDF - 56K
• Temperature-Dependent Thomas-Fermi Theory, W. R. Johnson (2000). PDF - 115K
• Fortran program for Temperature-Dependent Thomas-Fermi atom , W. R. Johnson (2002). thomas.tar.gz
• Nuclear size effects in Cs PNC, A. Derevianko and W. R. Johnson (2000). PDF - 54K
• Kohn-Sham Exchange, W. R. Johnson (2000). PDF - 48K
• Rydberg States of Th III and U V, W. R. Johnson (2000). PDF - 80K
• Magnetization Distribution, W. R. Johnson (2000). PDF - 42K
• Photoabsorption in Hot Dense Plasmas, W. R. Johnson (2001). PDF - 240K
• Isotope Shift, W. R. Johnson (2001). PDF - 94K
• Lennard-Jones potential inside a spherical cavity, W. R. Johnson (2001). PDF - 60K
• Higher-Order Calculations of Atomic Polarizabilities, W. R. Johnson and M. S. Safronova (2001). PDF - 93K
• Note on the Uehling Potential, W. R. Johnson (2001). PDF - 44K
• Pressure in the Average-Atom Model, W. R. Johnson (2002). PDF - 78K
• Free-Particle Continuum Density, W. R. Johnson (2002). PDF - 65K
• Two-photon energy distributions for decay of 2¹S₀ states of He-like ions (Z=2-30), W. R. Johnson (2002). ascii - 25K
• Note on the atomic edm and Schiff's theorem, W. R. Johnson (2002). PDF - 70K
• Comments on the hyperfine structure of the 6p3/2 state of Cs, W. R. Johnson (2003). PDF - 90K
• Note on the anomalous moment corrections to transition amplitudes, W. R. Johnson (2002). PDF - 107K
• A and B Hyperfine Constants and Isotope Shifts for Mg+, W. R. Johnson (2007). PDF
• Second-Order Hyperfine Effects in Mg and Ca, W. R. Johnson (2007). PDF
• Influence of second-order dipole-quadrupole corrections on the octupole hyperfine constant C in ¹³³Cs, W. R. Johnson (2007). PDF
• Gauge Dependence of Two-Photon Matrix Elements, W. R. Johnson (2007). PDF
• Scalar and Tensor Polarizabilities of Atoms, W. R. Johnson (2009) PDF

Atomic Theory Group at Notre Dame, Close Collaborators & Visitors

• Walter. R. Johnson, Frank M. Freimann Professor of Physics
• Ulyana I. Safronova, Adjunct Professor of Physics (Professor of Physics, Academy of Sciences, Russia)
• Marianna S. Safronova, Research Collaborator, Asst. Professor of Physics, University of Deleware
• Igor M. Savukov, Research Collaborator, Postdoctoral Associate Princeton University
• Andrei Derevianko, Research Collaborator, Asst. Professor of Physics (University of Nevada Reno)
• Vladimir Dzuba, Visiting Professor (University of New South Wales, Sydney, Australia) June-July 1998, Aug-Sept 2000, May-June 2002, June-july 2004
• Mikhail G. Kozlov, Visiting Professor (Petersburg Nuclear Physics Institute, Gatchina, 188300, Russia) Feb 15 - Apr 15 2001 and July-Aug 2003
• Leonti Labzowski, Visiting Professor (St. Petersburg State University, St. Petersburg, Russia) Mar 2 - Apr 30 2002
• Steven Blundell, Visiting Professor (CEA Grenoble, France) Oct 1 - Dec 15 2004

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