Reports on Mathematical Physics

Top Research Topics at Reports on Mathematical Physics?

Reports on Mathematical Physics generally zeroes in on subjects such as Mathematical analysis, Pure mathematics, Mathematical physics, Quantum mechanics and Algebra. Mathematical analysis research is concerned with Space (mathematics) in particular. Issues in Pure mathematics were discussed, taking into consideration concepts from other disciplines like Discrete mathematics and Group (mathematics).

The work tackled in the journal goes beyond the discipline of Mathematical physics as it also encompasses Hamiltonian (quantum mechanics). Quantum is a focus of the presented Quantum mechanics works and it dives deep in Quantum.

• Mathematical analysis (31.49%)
• Pure mathematics (25.31%)
• Mathematical physics (19.37%)

What are the most cited papers published in the journal?

• Reduction of symplectic manifolds with symmetry (1264 citations)
• The “transition probability” in the state space of a ∗-algebra (1169 citations)
• Linear transformations which preserve trace and positive semidefiniteness of operators (958 citations)

Research areas of the most cited articles at Reports on Mathematical Physics:

The most cited publications tackle a plethora of topics, such as Mathematical analysis, Pure mathematics, Mathematical physics, Classical mechanics and Quantum mechanics. The journal papers focus on Mathematical analysis but the discussions also offer insight into other areas such as Poisson bracket, Finsler manifold and Nonlinear system. Discrete mathematics, Metric (mathematics) and Algebra are some topics wherein Pure mathematics research discussed in the journal papers has an impact.

What topics the last edition of the journal is best known for?

• Quantum mechanics
• Mathematical analysis
• Algebra

The previous edition focused in particular on these issues:

The journal mainly deals with areas of study such as Pure mathematics, Applied mathematics, Spacetime, Constant (mathematics) and Mathematical analysis. In the journal, Quantum, Eigenvalues and eigenvectors and Distribution (differential geometry) are investigated in conjunction with one another to address concerns in Pure mathematics research. The close relationship between Gauge theory and Field (physics) and Classical mechanics is one of the points of interest dissected in Quantum research.

While the primary focus in it is Applied mathematics, it also dissects topics surrounding Order (group theory) and Variable (mathematics), Nonlinear system, Wright, Partial differential equation and Fractional differential as a whole. Zero (complex analysis) research are fields of study within Mathematical analysis but they also intertwine with concepts in Millennium Prize Problems. The study of Initial value problem encompasses disciplines such as Mean curvature, as well as fields such as Mathematical physics, all of which overlap with one another.

The most cited articles from the last journal are:

• Fractional Schrödinger Equation with Singular Potentials of Higher Order (5 citations)
• Solutions of a Bessel-type differential equation using the Tridiagonal Representation Approach (1 citations)
• A K-contact Lagrangian formulation for nonconservative field theories (1 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Reports on Mathematical Physics (based on the number of publications) are:

• G.S. Asanov (22 papers) absent at the last edition,
• Sergio Albeverio (21 papers) absent at the last edition,
• Sylvia Pulmannová (18 papers) absent at the last edition,
• Jerzy Kijowski (17 papers) absent at the last edition,
• Jan J. Sławianowski (16 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Reports on Mathematical Physics (based on the number of publications) are:

• University of Warsaw (108 papers) absent at the last edition,
• Polish Academy of Sciences (94 papers) absent at the last edition,
• University of Wrocław (80 papers) absent at the last edition,
• Leipzig University (39 papers) absent at the last edition,
• Joint Institute for Nuclear Research (38 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 9.09% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 0.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 3.33% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.67% of all publications and 80.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.