Volker Bach

2.5k total citations
65 papers, 1.1k citations indexed

About

Volker Bach is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Statistical and Nonlinear Physics. According to data from OpenAlex, Volker Bach has authored 65 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 26 papers in Atomic and Molecular Physics, and Optics and 25 papers in Statistical and Nonlinear Physics. Recurrent topics in Volker Bach's work include Spectral Theory in Mathematical Physics (32 papers), Quantum chaos and dynamical systems (23 papers) and Quantum Mechanics and Non-Hermitian Physics (10 papers). Volker Bach is often cited by papers focused on Spectral Theory in Mathematical Physics (32 papers), Quantum chaos and dynamical systems (23 papers) and Quantum Mechanics and Non-Hermitian Physics (10 papers). Volker Bach collaborates with scholars based in Germany, Switzerland and Canada. Volker Bach's co-authors include Jürg Fröhlich, Israel Michael Sigal, Luigi Delle Site, Thomas Chen, Alessandro Pizzo, Hubert Österle, Élliott H. Lieb, Michael Loss, Avy Soffer and Jan Philip Solovej and has published in prestigious journals such as Physical Review Letters, IEEE Transactions on Information Theory and Communications in Mathematical Physics.

In The Last Decade

Volker Bach

58 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Volker Bach Germany 16 653 647 476 111 94 65 1.1k
Michel Bauer France 16 160 0.2× 179 0.3× 330 0.7× 96 0.9× 162 1.7× 52 844
Mathieu Lewin France 20 542 0.8× 625 1.0× 256 0.5× 38 0.3× 115 1.2× 70 1.1k
M. D. Gould Australia 26 331 0.5× 562 0.9× 742 1.6× 88 0.8× 209 2.2× 145 1.9k
Bernd Thaller Austria 13 624 1.0× 897 1.4× 487 1.0× 111 1.0× 72 0.8× 27 1.5k
Pierpaolo Vivo United Kingdom 19 231 0.4× 330 0.5× 399 0.8× 130 1.2× 235 2.5× 62 1.0k
Gregory Berkolaiko United States 17 587 0.9× 330 0.5× 454 1.0× 47 0.4× 83 0.9× 52 1.1k
Roberto Franzosi Italy 19 64 0.1× 502 0.8× 525 1.1× 126 1.1× 140 1.5× 57 1.0k
A. Verbeure Belgium 22 400 0.6× 1.0k 1.6× 627 1.3× 343 3.1× 319 3.4× 122 1.5k
Madan Lal Mehta France 9 123 0.2× 309 0.5× 399 0.8× 26 0.2× 132 1.4× 15 859
Lawrence E. Thomas United States 16 480 0.7× 354 0.5× 328 0.7× 29 0.3× 160 1.7× 46 937

Countries citing papers authored by Volker Bach

Since Specialization
Citations

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

Fields of papers citing papers by Volker Bach

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Volker Bach

This figure shows the co-authorship network connecting the top 25 collaborators of Volker Bach. A scholar is included among the top collaborators of Volker Bach 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 Volker Bach. Volker Bach 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.
Bach, Volker, et al.. (2023). On relative bounds for interacting Fermion operators. Documenta Mathematica. 28(3). 683–707.
2.
Bach, Volker, et al.. (2022). On the Ultraviolet Limit of the Pauli–Fierz Hamiltonian in the Lieb–Loss Model. Annales Henri Poincaré. 23(6). 2207–2245. 3 indexed citations
3.
Bach, Volker, et al.. (2017). Existence and construction of resonances for atoms coupled to the quantized radiation field. Cineca Institutional Research Information System (Tor Vergata University). 6 indexed citations
4.
Bach, Volker & Luigi Delle Site. (2014). Many-electron approaches in physics, chemistry and mathematics : a multidisciplinary view. CERN Document Server (European Organization for Nuclear Research). 25 indexed citations
5.
Bach, Volker, et al.. (2013). Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Documenta Mathematica. 18. 1481–1519. 3 indexed citations
6.
Bach, Volker, et al.. (2012). Fermion correlation inequalities derived from G- and P-conditions. Documenta Mathematica. 17. 451–481. 2 indexed citations
7.
Bach, Volker, Jens Hoppe, & Douglas Lundholm. (2008). Dynamical Symmetries in Supersymmetric Matrix. Documenta Mathematica. 13. 103–116.
8.
Bach, Volker, Jürg Fröhlich, & Alessandro Pizzo. (2008). Infrared-finite algorithms in QED II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Advances in Mathematics. 220(4). 1023–1074. 9 indexed citations
9.
Lundholm, Douglas, Jens Hoppe, & Volker Bach. (2008). Dynamical symmetries in supersymmetric matrix models. Documenta Mathematica. 13. 103–116. 4 indexed citations
10.
Bach, Volker, Thomas Chen, Jürg Fröhlich, & Israel Michael Sigal. (2006). The renormalized electron mass in non-relativistic quantum electrodynamics. Journal of Functional Analysis. 243(2). 426–535. 28 indexed citations
11.
Bach, Volker & Jacob Schach Møller. (2003). Correlation at low temperature: I. Exponential decay. Journal of Functional Analysis. 203(1). 93–148. 12 indexed citations
12.
Bach, Volker, Thomas Chen, Jürg Fröhlich, & Israel Michael Sigal. (2003). Smooth Feshbach map and operator-theoretic renormalization group methods. Journal of Functional Analysis. 203(1). 44–92. 38 indexed citations
13.
Christ, Oliver, Volker Bach, & Hubert Österle. (2002). Profitable Portale durch prozessorientierte Content- und Kanalintegration - Beispiel Telekomunikation. Alexandria (UniSG) (University of St.Gallen). 19(1). 41–44. 1 indexed citations
14.
Bach, Volker, et al.. (2000). Business-knowledge-Management in der Praxis : prozessorientierte Lösungen zwischen Knowledge-Portal und Kompetenzmanagement. Springer eBooks. 7 indexed citations
15.
Bach, Volker, et al.. (1999). Business knowledge management : Praxiserfahrungen mit Intranet-basierten Lösungen. Springer eBooks. 11 indexed citations
16.
Barbaroux, Jean-Marie, Heinz Siedentop, Volker Bach, & Bernard Helffer. (1998). Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Documenta Mathematica. 3. 353–364. 5 indexed citations
17.
Bach, Volker, Jürg Fröhlich, & Israel Michael Sigal. (1998). Quantum Electrodynamics of Confined Nonrelativistic Particles. Advances in Mathematics. 137(2). 299–395. 169 indexed citations
18.
Bach, Volker, Jürg Fröhlich, & Israel Michael Sigal. (1998). Renormalization Group Analysis of Spectral Problems in Quantum Field Theory. Advances in Mathematics. 137(2). 205–298. 91 indexed citations
19.
Bach, Volker, et al.. (1993). On the number of bound states of a bosonic N-particle Coulomb system.. Mathematische Zeitschrift. 214(3). 441–460. 2 indexed citations
20.
Bach, Volker & Heinz Siedentop. (1991). Universality of the Fermi-Hellmann model. Journal of Mathematical Analysis and Applications. 157(2). 385–394.

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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