R. A. Sack

2.7k total citations · 1 hit paper
44 papers, 2.2k citations indexed

About

R. A. Sack is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Applied Mathematics. According to data from OpenAlex, R. A. Sack has authored 44 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Statistical and Nonlinear Physics, 11 papers in Atomic and Molecular Physics, and Optics and 10 papers in Applied Mathematics. Recurrent topics in R. A. Sack's work include Mathematical functions and polynomials (7 papers), Quantum Mechanics and Non-Hermitian Physics (6 papers) and Scientific Research and Discoveries (6 papers). R. A. Sack is often cited by papers focused on Mathematical functions and polynomials (7 papers), Quantum Mechanics and Non-Hermitian Physics (6 papers) and Scientific Research and Discoveries (6 papers). R. A. Sack collaborates with scholars based in United Kingdom, United States and Canada. R. A. Sack's co-authors include M. H. L. Pryce, Hugh Christopher Longuet-Higgins, U. Öpik, Clemens Roothaan, W Kołos, Kenneth E. Gilbert, A. A. Maradudin, George H. Weiss, Michael J. Boulton and Ll. G. Chambers and has published in prestigious journals such as Nature, The Journal of Chemical Physics and Reviews of Modern Physics.

In The Last Decade

R. A. Sack

41 papers receiving 2.0k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Studies of the Jahn-Teller effect .II. The dynamical problem

1958 785 citations Hugh Christopher Longuet-Higgins, U. Öpik et al. Proceedings of the Royal Society of London A Mathematical and Physical Sciences profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
R. A. Sack United Kingdom	19	1.3k	373	322	278	203	44	2.2k
E. U. Condon United States	11	1.4k 1.1×	396 1.1×	442 1.4×	89 0.3×	256 1.3×	36	2.4k
L. Pincherle United Kingdom	12	1.6k 1.2×	462 1.2×	545 1.7×	201 0.7×	118 0.6×	27	2.7k
Taro Kihara Japan	24	1.1k 0.8×	460 1.2×	204 0.6×	384 1.4×	150 0.7×	63	2.4k
M. E. Rose United States	15	2.2k 1.7×	532 1.4×	1.1k 3.5×	314 1.1×	227 1.1×	19	4.0k
Morton Hamermesh United States	11	1.1k 0.9×	236 0.6×	258 0.8×	370 1.3×	65 0.3×	19	2.3k
M. R. Hoare United Kingdom	21	899 0.7×	641 1.7×	127 0.4×	378 1.4×	143 0.7×	50	1.8k
Wesley E. Brittin United States	13	1.7k 1.3×	379 1.0×	669 2.1×	660 2.4×	131 0.6×	36	3.6k
Sidney Fernbach United States	15	902 0.7×	322 0.9×	186 0.6×	135 0.5×	97 0.5×	29	2.6k
B.R.A. Nijboer Netherlands	15	993 0.8×	590 1.6×	96 0.3×	416 1.5×	209 1.0×	29	1.8k
G. C. Lie United States	28	2.4k 1.8×	421 1.1×	850 2.6×	225 0.8×	389 1.9×	73	3.1k

Countries citing papers authored by R. A. Sack

Since Specialization

Citations

This map shows the geographic impact of R. A. Sack's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by R. A. Sack with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites R. A. Sack more than expected).

Fields of papers citing papers by R. A. Sack

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. A. Sack. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by R. A. Sack. The network helps show where R. A. Sack may publish in the future.

Co-authorship network of co-authors of R. A. Sack

This figure shows the co-authorship network connecting the top 25 collaborators of R. A. Sack. A scholar is included among the top collaborators of R. A. Sack based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with R. A. Sack. R. A. Sack is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Sack, R. A.. (2009). An alternative method for expanding the product of two slater wave functions. International Journal of Quantum Chemistry. 1(S1). 369–373.

Sack, R. A.. (2009). An extension of the rayleigh-ritz method for finding upper and lower bounds of eigenvalues. International Journal of Quantum Chemistry. 1(S1). 517–522.

Sack, R. A., et al.. (1995). A parabolic equation for sound propagation in two dimensions over any smooth terrain profile: The generalised terrain parabolic equation (GT-PE). Applied Acoustics. 45(2). 113–129. 33 indexed citations

Sack, R. A., et al.. (1992). Representation of elliptic by parabolic partial differential equations with an application to axially symmetric sound propagation. Applied Acoustics. 37(2). 141–149. 2 indexed citations

Gilbert, Kenneth E., et al.. (1992). A tutorial on the parabolic equation (PE) model used for long range sound propagation in the atmosphere. Applied Acoustics. 37(1). 31–49. 98 indexed citations

Sack, R. A., et al.. (1991). The Fast Field Program (FFP). A second tutorial: Application to long range sound propagation in the atmosphere. Applied Acoustics. 33(3). 199–228. 22 indexed citations

Sack, R. A., et al.. (1990). New correction procedures for the fast field program which extend its range. NASA STI Repository (National Aeronautics and Space Administration). 201–209. 1 indexed citations

Sack, R. A.. (1974). Generating Functions for Spherical Harmonics Part I: Three-Dimensional Harmonics. SIAM Journal on Mathematical Analysis. 5(5). 774–796. 10 indexed citations

Sack, R. A.. (1972). Variational Solutions for Eigenvalues of Single and Coupled Lamé Equations. IMA Journal of Applied Mathematics. 10(3). 279–288. 5 indexed citations

10.

Sack, R. A.. (1971). A fully stable rational version of theQR algorithm for tridiagonal matrices. Numerische Mathematik. 18(5). 432–441. 2 indexed citations

11.

Sack, R. A.. (1966). Factorization of Lagrange’s Expansion by Means of Exponential Generating Functions. SIAM Journal on Applied Mathematics. 14(1). 1–15. 3 indexed citations

12.

Sack, R. A.. (1965). Generalization of Lagrange’s Expansion for Functions of Several Implicitly Defined Variables. Journal of the Society for Industrial and Applied Mathematics. 13(4). 913–926. 8 indexed citations

13.

Sack, R. A.. (1964). Generalization of Laplace's Expansion to Arbitrary Powers and Functions of the Distance between Two Points. Journal of Mathematical Physics. 5(2). 245–251. 149 indexed citations

14.

Kołos, W, Clemens Roothaan, & R. A. Sack. (1960). Ground State of Systems of Three Particles with Coulomb Interaction. Reviews of Modern Physics. 32(2). 178–179. 127 indexed citations

15.

Longuet-Higgins, Hugh Christopher, U. Öpik, M. H. L. Pryce, & R. A. Sack. (1958). Studies of the Jahn-Teller effect .II. The dynamical problem. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 244(1236). 1–16. 785 indexed citations breakdown →

16.

Sack, R. A.. (1958). Taylor's theorem for shift operators. Philosophical magazine. 3(29). 497–503. 34 indexed citations

17.

Sack, R. A.. (1958). Restricted random walks and the use of moments. The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics. 3(30). 504–507. 3 indexed citations

18.

Sack, R. A.. (1958). A contribution to the theory of the exchange narrowing of spectral lines. Molecular Physics. 1(2). 163–167. 147 indexed citations

19.

Sack, R. A.. (1957). Relaxation Processes and Inertial Effects I: Free Rotation about a Fixed Axis. Proceedings of the Physical Society Section B. 70(4). 402–413. 97 indexed citations

20.

Sack, R. A.. (1957). Relaxation Processes and Inertial Effects II: Free Rotation in Space. Proceedings of the Physical Society Section B. 70(4). 414–426. 74 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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