Walter R. Johnson

Homepage of Walter Johnson (Notre Dame University)

Walter R. Johnson
Frank M. Freimann Professor of Physics (Emeritus)
Department of Physics
225 Nieuwland Science
University of Notre Dame
Notre Dame, IN 46556
Tel. (574) 631-1164
Fax. (574) 631-5952
Cell. (574) 274-7048

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)

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

Course Material for Physics 70006 E&M I -- Spring (2006)

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 approximation.

Activities (1958-2005)

Activities (2006-2010)

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).
Invited talk entitled Hyperfine Quenching: Review of Experiment and Theory at the conference on Atomic Spectra and Oscillator Strengths 10 (ASOS10), Berkeley, CA, Aug. 3-7 (2010).
Seminar entitled Thomson Scattering in the Average Atom Approximation, Department of Physics, Notre Dame, May 10 (2012)
Invited talk entitled Thomson Scattering in the Average-Atom Approximation at Workshop VI: Computational Challenges in Warm Dense Matter, held at the Institute for Pure & Applied Mathematics, UCLA, May 21-25 (2012).
Talk entitled Thomson Scattering from Warm Dense Matter: Average-Atom Approximation at Workshop Radiative Properties of Warm Dense Matter #15, Santa Barbara, CA Nov.5-9 (2012).

Publications (1958-2011)

Publications (2012-2017)

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 ) Supplementary material for this book is available at Atomic Structure Material

Thomson Scattering in the Average-Atom Approximation, W.R. Johnson, J. Nilsen and K.T. Cheng, Phys. Rev. E 86, 036410 (2012). arXiv:1207.0178
Using the X-FEL to understand X-ray Thomson scattering for partially ionized plasmas, J. Nilsen, W.R. Johnson and K.T. Cheng, 13th International Conference on X-ray Lasers Paris, France June 10, 2012 through June 15, 2012, Report-no: LLNL-PROC-564720. arXiv:1207.5075
Average-Atom Model for X-ray Scattering from Warm Dense Matter, W.R. Johnson, J. Nilsen and K.T. Cheng, Submitted to proceedings of Workshop IV: Computational Challenges in Warm Dense Matter IPAM (UCLA) May 21 - 25 (2012). arXiv:1211.0227
The effect of bound states on X-ray Thomson scattering for partially ionized plasmas, J. Nilsen, W.R. Johnson and K.T. Cheng, High Energy Density Physics, 9, 388-391 (2013). arXiv:1212.5972
Resonant Bound-Free Contributions to Thomson Scattering of X-rays by Warm Dense Matter, W.R. Johnson, J. Nilsen and K.T. Cheng, High Energy Density Physics, 9, 407-409 (2013). arXiv:1301.3440
X-ray Thomson scattering for partially ionized plasmas including the effect of bound levels, J. Nilsen, W.R. Johnson and K.T. Cheng, X-Ray Lasers and Coherent X-Ray Sources: Developement and Applications X, Proceedings of SPIE 2013, p. 8849 arXiv:1309.6281
Thomson scattering from a three-component plasma, W.R. Johnson and J. Nilsen, Phys. Rev. E, 89, 023107 (2014). PDF
Using the X-FEL to Understand X-Ray Thomson Scattering for Partially Ionized Plasmas, J. Nilsen, W. R. Johnson and K. T. Cheng, X-Ray Lasers 2012, Springer Proceedings in Physics, 147, 193-198 (2014)
Average-atom treatment of relaxation time in X-ray Thomson scattering from warm-dense matter, W. R. Johnson and J. Nilsen, Phys. Rev. E, 93, 033295 (2016). arXiv:1512.09155v4
Relativistic many-body calculation of energies, lifetimes, polarizabilities, blackbody radiative shift, and hyperfine constants in Lu²⁺, U. I. Safronova, M. S. Safronova and W. R. Johnson, Phys. Rev. A, 94 032506 (2016). arXiv:1607.003880v3
Forbidden M1 and E2 transitions in monovalent atoms and ions, U. I. Safronova, M. S. Safronova and W. R. Johnson, Phys. Rev. A, 95, 042507 (2017). arXiv:1611.01191
Corrigendum: Two-photon transitions in Ca+, Sr+ and Ba+ ions (2010 J. Phys. B: At. Mol. Opt. Phys. 43 074014) M. S. Safronova, W. R. Johnson and U. I. Safronova, J. Phys. B: At. Mol. Opt. Phys. 50 189501 (2017). PDF
X-ray line coincidence photopumping in a solar flare, F. P. Keenan, K. Poppenhaeger, M. Mathioudakis, S. J. Rose, J. Flowerdew, D. Hynes, Damian J. Christian, J. Nilsen and W. R. Johnson, Monthly Notices of the Royal Astronomical Society, 474, 3782–3786 (2017). PDF
Equation of state of boron nitride combining computation, modeling, and experiment, Shuai Zhang, Amy Lazicki, Burkhard Militzer, Lin H. Yang, Kyle Caspersen, Jim A. Gaffney, Markus W. Däne, John E. Pask, Walter R. Johnson, Abhiraj Sharma, Phanish Suryanarayana, Duane D. Johnson, Andrey V. Smirnov, Philip A. Sterne, David Erskine, Richard A. London, Federica Coppari, Damian Swift, Joseph Nilsen, Art J. Nelson and Heather D. Whitley, Phys. Rev. B, 99 165103 (2019).
Determination of the scalar polarizability of the cesium 6s ²S_1/2 - 7s ²S_1/2 transition and implications for atomic parity violation, George Toh, Amy Damitz, Carol E. Tanner, W. R. Johnson, and D. S. Elliott, Phys. Rev. Letts., 123, 073002 (2019). arXiv:1905.02768
Opacity of shock-heated boron plasmas,s W. R. Johnson and J. Nilsen, HEDP 31, 92-98 (2019) DOI
Role of opacity at the 9 keV back lighter energy used in measuring the equation of state of boron at pressures up to a Gbar, Joseph Nilsen, Daniel Aberg, Brian Wilson, Lin Yang, Philip Sterne, Markus Daene, Maison Martin, Heather Whitley, Shuai Zhang, Walter Johnson, HEDP 37, 100880 (2020). DOI
A measurement of the equation of state of carbon envelopes of white dwarfs, Andrea L. Kritcher, Damian C. Swift, Tilo Döppner, Benjamin Bachmann, Lorin X. Benedict, Gilbert W. Collins, Jonathan L. DuBois, Fred Elsner, Gilles Fontaine,, Jim A. Gaffney, Sebastien Hamel, Amy Lazicki, Walter R. Johnson, Natalie Kostinski, Dominik Kraus, Michael J. MacDonald, Brian Maddox, Madison E. Martin, Paul Neumayer, Abbas Nikroo, Joseph Nilsen, Bruce A. Remington, Didier Saumon, Phillip A. Sterne, Wendi Sweet, Alfredo A. Correa, Heather D. Whitley, Roger W. Falcone, Siegfried H. Glenzer, Nature 584, 51-54 (2020). DOI
Average-Atom Calculations of Bound-Free ans Free-Free Cross Sections in Dense Plasmas, W. R. Johnson and Joseph Nilsen, Phys. Rev. E, 102 043209 (2020). DOI
Comparing opacity tables for boron and plastic with average atom calculations at the 9 keV back lighter energy used in radiography to measure the equation of state Hugoniot at pressures up to a Gbar, Joseph Nilsen and Walter R. Johnson, LLNL-TR-814507, submitted to HEDP

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
Relativistic Calculations of Transition Amplitudes in the Helium Isoelectronic Sequencs (Advances in Atomic, Molecular and Optical Physics 35, 225-329 (1995). [This is an article-class version - the figures in the original article are modified here.] W.R. Johnson, D.R. Plante, and J. Sapirstein (1995) PDF
Folding a Gaussian into Theoretical Data, W. R. Johnson (2012). 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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