Erik Balslev

2.0k total citations · 1 hit paper
40 papers, 1.5k citations indexed

About

Erik Balslev is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Computational Theory and Mathematics. According to data from OpenAlex, Erik Balslev has authored 40 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mathematical Physics, 15 papers in Atomic and Molecular Physics, and Optics and 10 papers in Computational Theory and Mathematics. Recurrent topics in Erik Balslev's work include Spectral Theory in Mathematical Physics (29 papers), Quantum Mechanics and Non-Hermitian Physics (9 papers) and Quantum chaos and dynamical systems (7 papers). Erik Balslev is often cited by papers focused on Spectral Theory in Mathematical Physics (29 papers), Quantum Mechanics and Non-Hermitian Physics (9 papers) and Quantum chaos and dynamical systems (7 papers). Erik Balslev collaborates with scholars based in Denmark, United States and France. Erik Balslev's co-authors include J. M. Combes, T. W. Gamelin, A. Verbeure, Donald Babbitt, Bernard Helffer, J. Manuceau, K. N. Leibovic, Erik Skibsted, Alexei B. Venkov and Tanmoy Paul and has published in prestigious journals such as Journal of Theoretical Biology, Communications in Mathematical Physics and Annals of Physics.

In The Last Decade

Erik Balslev

39 papers receiving 1.3k citations

Hit Papers

Spectral properties of many-body Schrödinger operators wi... 1971 2026 1989 2007 1971 250 500 750 1000
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.

  1. Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions
    1971 1.1k citations Erik Balslev et al. Communications in Mathematical Physics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Erik Balslev Denmark 13 998 469 373 255 151 40 1.5k
V. Grecchi Italy 19 1.1k 1.1× 329 0.7× 666 1.8× 134 0.5× 67 0.4× 73 1.4k
J Killingbeck United Kingdom 24 1.5k 1.5× 160 0.3× 794 2.1× 174 0.7× 113 0.7× 137 1.9k
Gerhard C. Hegerfeldt Germany 24 2.0k 2.0× 210 0.4× 413 1.1× 120 0.5× 56 0.4× 99 2.4k
Karl‐Heinz Spatschek Germany 22 758 0.8× 384 0.8× 724 1.9× 286 1.1× 74 0.5× 80 1.5k
Res Jost United States 10 530 0.5× 308 0.7× 316 0.8× 332 1.3× 67 0.4× 15 1.1k
M. Hoffmann-Ostenhof Austria 20 704 0.7× 496 1.1× 181 0.5× 88 0.3× 255 1.7× 47 1.2k
R. Rączka Italy 13 406 0.4× 270 0.6× 478 1.3× 400 1.6× 42 0.3× 66 1.3k
Armin Uhlmann Germany 22 2.5k 2.5× 192 0.4× 626 1.7× 98 0.4× 163 1.1× 58 3.1k
Thomas Hoffmann-Ostenhof Austria 21 738 0.7× 602 1.3× 221 0.6× 91 0.4× 325 2.2× 64 1.4k
Bernd Thaller Austria 13 897 0.9× 624 1.3× 487 1.3× 290 1.1× 187 1.2× 27 1.5k

Countries citing papers authored by Erik Balslev

Since Specialization
Citations

This map shows the geographic impact of Erik Balslev'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 Erik Balslev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Erik Balslev more than expected).

Fields of papers citing papers by Erik Balslev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Erik Balslev. 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 Erik Balslev. The network helps show where Erik Balslev may publish in the future.

Co-authorship network of co-authors of Erik Balslev

This figure shows the co-authorship network connecting the top 25 collaborators of Erik Balslev. A scholar is included among the top collaborators of Erik Balslev 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 Erik Balslev. Erik Balslev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Balslev, Erik & Alexei B. Venkov. (2018). Selberg's Eigenvalue Conjecture and the Siegel Zeros for Hecke $L$-series. Advanced studies in pure mathematics. 19–32.
2.
Balslev, Erik & Alexei B. Venkov. (2006). On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians. St Petersburg Mathematical Journal. 17(1). 1–37. 2 indexed citations
3.
Balslev, Erik. (1997). Spectral deformation of Laplacians on hyperbolic manifolds. Communications in Analysis and Geometry. 5(2). 213–247. 3 indexed citations
4.
Balslev, Erik & Bernard Helffer. (1992). Limiting absorption principle and resonances for the Dirac operator. Advances in Applied Mathematics. 13(2). 186–215. 25 indexed citations
5.
Balslev, Erik. (1992). Schrö'dinger Operators The Quantum Mechanical Many-Body Problem. Lecture notes in physics. 2 indexed citations
6.
Balslev, Erik & Erik Skibsted. (1990). Asymptotic and analytic properties of resonance functions. French digital mathematics library (Numdam). 53(1). 123–137. 1 indexed citations
7.
Balslev, Erik & Erik Skibsted. (1989). Resonance theory of two-body Schrödinger operators. French digital mathematics library (Numdam). 51(2). 129–154. 6 indexed citations
8.
Balslev, Erik. (1987). Resonance functions for radial Schrödinger operators. Journal of Mathematical Analysis and Applications. 123(2). 339–365. 1 indexed citations
9.
Balslev, Erik, A. Großmann, & Tanmoy Paul. (1986). A characterisation of dilation-analytic operators. French digital mathematics library (Numdam). 45(3). 277–292. 1 indexed citations
10.
Balslev, Erik & Erik Skibsted. (1985). Boundedness of two and three body resonances. French digital mathematics library (Numdam). 43(4). 369–397. 2 indexed citations
11.
Balslev, Erik. (1984). Resonances in three-body scattering theory. Advances in Applied Mathematics. 5(3). 260–285. 3 indexed citations
12.
Balslev, Erik. (1980). Analytic scattering theory of quantum mechanical three-body systems. French digital mathematics library (Numdam). 32(2). 125–160. 8 indexed citations
13.
Balslev, Erik. (1978). Analytic scattering theory of two-body Schrödinger operators. Journal of Functional Analysis. 29(3). 375–396. 20 indexed citations
14.
Babbitt, Donald & Erik Balslev. (1976). Local distortion techniques and unitarity of the S-matrix for the 2-body problem. Journal of Mathematical Analysis and Applications. 54(2). 316–347. 17 indexed citations
15.
Babbitt, Donald & Erik Balslev. (1975). A characterization of dilation-analytic potentials and vectors. Journal of Functional Analysis. 18(1). 1–14. 13 indexed citations
16.
Balslev, Erik. (1974). Schrödinger operators with symmetries. Reports on Mathematical Physics. 5(2). 219–280. 5 indexed citations
17.
Leibovic, K. N., et al.. (1970). Binocular space and its representation by cellular assemblies in the brain. Journal of Theoretical Biology. 28(3). 513–529. 6 indexed citations
18.
Balslev, Erik. (1968). Discreteness of the Spectrum of a Second Order Elliptic Differential Operator in $L^2 (\mathsf{R}^n)$.. MATHEMATICA SCANDINAVICA. 22. 42–42. 1 indexed citations
19.
Balslev, Erik, J. Manuceau, & A. Verbeure. (1968). Representations of anticommutation relations and Bogolioubov transformations. Communications in Mathematical Physics. 8(4). 315–326. 38 indexed citations
20.
Balslev, Erik. (1965). The essential spectrum of elliptic differential operators in 𝐿^{𝑝}(𝑅_{𝑛}). Transactions of the American Mathematical Society. 116(0). 193–217. 13 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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