Paul Bracken

400 total citations
78 papers, 246 citations indexed

About

Paul Bracken is a scholar working on Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Paul Bracken has authored 78 papers receiving a total of 246 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Atomic and Molecular Physics, and Optics, 30 papers in Statistical and Nonlinear Physics and 10 papers in Geometry and Topology. Recurrent topics in Paul Bracken's work include Nonlinear Waves and Solitons (13 papers), Quantum Mechanics and Applications (13 papers) and Quantum Mechanics and Non-Hermitian Physics (9 papers). Paul Bracken is often cited by papers focused on Nonlinear Waves and Solitons (13 papers), Quantum Mechanics and Applications (13 papers) and Quantum Mechanics and Non-Hermitian Physics (9 papers). Paul Bracken collaborates with scholars based in Canada, United States and Germany. Paul Bracken's co-authors include Jiřı́ Čı́žek, Jakub Čı́žek, Ernst Joachim Weniger, V. S̆pirko, Rodney J. Bartlett, Masahiro Takahashi, Josef Paldus, Muhammad I. Bhatti, Abraham Boyarsky and Nicholas Dimakis and has published in prestigious journals such as Physical Review Letters, Physics Letters B and The Journal of Physical Chemistry A.

In The Last Decade

Paul Bracken

54 papers receiving 198 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul Bracken Canada 8 121 85 57 26 20 78 246
L. Solombrino Italy 11 240 2.0× 244 2.9× 50 0.9× 35 1.3× 5 0.3× 38 356
Joseph G. Conlon United States 10 88 0.7× 74 0.9× 63 1.1× 12 0.5× 11 0.6× 41 289
Shigeki Matsutani Japan 11 126 1.0× 194 2.3× 57 1.0× 86 3.3× 18 0.9× 72 388
A. Yu. Trifonov Russia 10 145 1.2× 116 1.4× 31 0.5× 5 0.2× 30 1.5× 44 303
P. L. Ottaviani Italy 9 139 1.1× 68 0.8× 87 1.5× 7 0.3× 35 1.8× 28 334
Emanuela Caliceti Italy 9 307 2.5× 262 3.1× 64 1.1× 17 0.7× 11 0.6× 26 409
A.G. Ushveridze Russia 11 317 2.6× 249 2.9× 34 0.6× 49 1.9× 6 0.3× 23 384
Choon-Lin Ho Taiwan 11 287 2.4× 194 2.3× 30 0.5× 17 0.7× 11 0.6× 49 421
L I Komarov Belarus 11 299 2.5× 94 1.1× 17 0.3× 6 0.2× 4 0.2× 30 364
Hadi Sobhani Iran 12 284 2.3× 225 2.6× 60 1.1× 21 0.8× 43 2.1× 50 373

Countries citing papers authored by Paul Bracken

Since Specialization
Citations

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

Fields of papers citing papers by Paul Bracken

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Bracken

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Bracken. A scholar is included among the top collaborators of Paul Bracken 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 Paul Bracken. Paul Bracken 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.
Bracken, Paul, et al.. (2025). The Global Third Nuclear Age. Monash University Research Portal (Monash University).
2.
Bracken, Paul. (2024). Nonequilibrium Jarzynski relations related to quantum systems. Advanced Studies in Theoretical Physics. 18(2). 49–60. 1 indexed citations
3.
Bracken, Paul. (2022). Construction of Hall states by means of a model quantum matrix model. Advanced Studies in Theoretical Physics. 16(1). 21–31.
4.
Bracken, Paul. (2020). The quantum Hamilton–Jacobi formalism in complex space. Quantum Studies Mathematics and Foundations. 7(4). 389–403. 8 indexed citations
5.
Bracken, Paul. (2019). Manifolds II - Theory and Applications. IntechOpen eBooks. 1 indexed citations
6.
Bracken, Paul. (2019). Research Advances in Chaos Theory. IntechOpen eBooks. 6 indexed citations
7.
Bracken, Paul. (2019). Metric geometry and the determination of the Bohmian quantum potential. Journal of Physics Communications. 3(6). 65006–65006. 2 indexed citations
8.
Bhatti, Muhammad I., et al.. (2018). Solution of mathematical model for gas solubility using fractional-order Bhatti polynomials. Journal of Physics Communications. 2(8). 85013–85013. 4 indexed citations
9.
Bracken, Paul. (2013). Connections defining representations of zero curvature and their Lax and Bäcklund mappings. Journal of Geometry and Physics. 70. 157–163. 1 indexed citations
10.
Bracken, Paul. (2013). Advances in Quantum Mechanics. InTech eBooks. 21 indexed citations
11.
Bracken, Paul. (2011). Surfaces of Arbitrary Constant Negative Gaussian Curvature and Related Sine-Gordon Equations. 1(1). 1–11. 1 indexed citations
12.
Bracken, Paul. (2009). Surfaces specified by integrable systems of partial differential equations determined by structure equations and Lax pair. Journal of Geometry and Physics. 60(4). 562–569. 4 indexed citations
13.
Bracken, Paul. (2008). CARTAN'S THEORY OF MOVING FRAMES AND AN APPLICATION TO A THEOREM OF BONNET. 70(3). 261–274. 1 indexed citations
14.
Bracken, Paul, et al.. (2007). An Integral Inequality: 11133.. American Mathematical Monthly. 114. 360–361. 1 indexed citations
15.
Bracken, Paul. (2006). The Generalized Weierstrass System for Nonconstant Mean Curvature Surfaces and the Nonlinear Sigma Model. Acta Applicandae Mathematicae. 92(1). 63–76. 2 indexed citations
16.
Bracken, Paul. (2003). Properties of certain sequences related to Stirling's approximation for the gamma function. Expositiones Mathematicae. 21(2). 171–178. 3 indexed citations
17.
Bracken, Paul. (2001). An arithmetic-geometric mean inequality. Expositiones Mathematicae. 19(3). 273–279. 14 indexed citations
18.
Bracken, Paul. (1999). Invariant Solutions of the Yang–Mills Field Equations Coupled to a Scalar Doublet. Letters in Mathematical Physics. 47(1). 19–31. 1 indexed citations
19.
Bracken, Paul. (1998). A function related to the central limit theorem. Commentationes Mathematicae Universitatis Carolinae. 39(4). 765–775. 4 indexed citations
20.
Bracken, Paul & Rodney J. Bartlett. (1997). Calculation of Gaussian integrals using symbolic manipulation. International Journal of Quantum Chemistry. 62(6). 557–570. 7 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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