Published since February 20, 1946

Zeitschrift für Naturforschung A

A Journal of Physical Sciences

ISSN: 1865-7109

Editor-in-chief: Martin Holthaus

Edited by: Gernot Alber, Martin Holthaus, Claus Kiefer, Klaus Morawetz, Jürgen Schnack

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About this journal

Objective
A Journal of Physical Sciences: Zeitschrift für Naturforschung A (ZNA) is an international scientific journal which publishes original research papers from all areas of experimental and theoretical physics. Authors are encouraged to pay particular attention to a clear exposition of their respective subject, addressing a wide readership. In accordance with the name of our journal, which means “Journal for Natural Sciences”, manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena. In particular, we welcome experiment-oriented contributions.

Manuscripts considered for publication in A Journal of Physical Sciences: Zeitschrift für Naturforschung A undergo high-level refereeing. Mere formal correctness of a paper is not sufficient for its acceptance. Moreover, articles reporting a merely marginal extension of already existing knowledge are considered unsatisfactory. Instead, the key quality a publication in A Journal of Physical Sciences: Zeitschrift für Naturforschung A should possess is that it makes a genuine contribution to the advancement of its topic.

Topics

Atomic, Molecular & Chemical Physics
Dynamical Systems & Nonlinear Phenomena
Gravitation & Cosmology
Hydrodynamics
Quantum Theory
Solid State Physics & Materials Science
Thermodynamics & Statistical Physics

Article formats
Original research articles, research notes, letters and review articles from all areas of theoretical and experimental physics

Information on submission process

Your Benefits

Zeitschrift für Naturforschung A – A Journal of Physical Sciences is proud to announce a new feature, the Editor’s Choice free access article. To download the featured article free of charge, please click the link below.

Vol. 76, Iss. 12: Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality by Dylan Durieux and Willi-Hans Steeb

Vol. 76, Iss. 12: Mathieu-state reordering in periodic thermodynamics by Onno R. Diermann

Vol. 76, Iss. 11: Exact Beltrami flows in a spherical shell by Oleg Bogoyavlenskij

Vol. 76, Iss. 9: Accuracy of the typicality approach using Chebyshev polynomials by Henrik Schlüter, Florian Gayk, Heinz-Jürgen Schmidt, Andreas Honecker and Jürgen Schnack

Vol. 76, Iss. 8: Stochastic thermodynamics of a finite quantum system coupled to a heat bath by Heinz-Jürgen Schmidt, Jürgen Schnack and Jochen Gemmer

Vol. 76, Iss. 3: Interaction of waves in one-dimensional dusty gas flow by Pooja Gupta, Rahul Kumar Chaturvedi and L. P. Singh

Vol. 75, Iss. 7: Admissibility conditions for Riemann data in shallow water theory by Martin O. Paulsen and Henrik Kalisch

Vol. 75, Iss. 5: Special Issue: Physics of Non-Equilibrium Systems/ Issue Editors: Martin Holthaus and Andreas Engel

Vol. 75, Iss. 2: Quantum-Phase-Field: From de Broglie-Bohm Double-Solution Program to Doublon Networks by J. Kundin and I. Steinbach

Vol. 74, Iss. 8: Special Issue: Trends an Perspectives in Engery Research/ Issue Editors: Martin Holthaus and Sascha Schäfer

Vol. 72, Iss. 2: Special Issue: Heat Transfer and Heat Conduction on the Nanoscale / Guest Editors: Svend-Age Biehs, Philippe Ben-Abdallah, Achim Kittel

Vol. 71, Iss. 10: Focus Section: Emergence in Driven Solid-State and Cold-Atom Systems / Guest Editors: Ludwig Mathey, Junichi Okamoto

History

The "Zeitschrift für Naturforschung A - A Journal of Physical Sciences" (ZNA) is an international scientific journal that publishes original research papers from all areas of experimental and theoretical physics. The journal has had a tradition of excellence since its first issue in early 1946.

History of ZNA: A Modern Journal with Tradition

Free access to virtual issue: seminal papers of eminent physicist published throughout the journal’s history

The "Zeitschrift für Naturforschung" – translated literally: Journal for Research in Natural Sciences – was founded by Alfred Klemm together with Hans Friedrich-Freksa in 1945, providing a badly needed functioning means of professional communication for scientists in postwar Germany.

In this tradition, ZNA is serving the international scientific community still today as an efficient, up-to-date communication platform which covers all areas of experimental and theoretical physics, combining rigorous publication standards with high visibility.

Please have a look at the comprehensive history of ZNA in the document "About this Journal".

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Supplementary Materials

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Online Submission of Manuscripts

Volume 78 Issue 6

June 2023

Publicly Available June 1, 2023

Frontmatter

Page range: i-iii

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General

May 4, 2023

The Standard Model and quantum state reduction from Heim’s field theory

Thomas Warmann

Page range: 481-497

Abstract

Core parts of the Standard Model are derived from B. Heim’s quantum field theory, whose poly-metric describes spacetime and matter in a unified formalism. Its non-linear eigenvalue equation transforms into the Einstein field equation in the macroscopic limit. The 6-dimensional Heim space can be determined as locally isomorphic to a SU (2) ⊗ SU (2) ⊗ U (1) ⊗ U (1) symmetry and thus to the SU (3), which allows to connect to the local gauge symmetries and boson fields of the Standard Model. The Fermion and Higgs field and their coupling are deduced from Heim’s basic equations, providing new insight into possible correlations of these fields. Furthermore, the derivation yields an additional imaginary coupling term which seems to account for quantum mechanical state reduction in the non-relativistic limit. The recently performed calculation of the mass spectrum of elementary particles in a new approach based on Heim’s theory (with average error to the data < 1 % ${< } 1\%$ ) appears as even more relevant, having now shown that the theory can connect to the achievements of the Standard Model.

Dynamical Systems & Nonlinear Phenomena

April 4, 2023

Bifurcation analysis of a discrete type prey-predator model with Michaelis–Menten harvesting in predator

Md Golam Mortuja, Mithilesh Kumar Chaube, Santosh Kumar

Page range: 499-510

Abstract

A discrete predator–prey model with square root functional response describing prey herd behavior and nonlinear predator harvesting has been considered in the present work. Three equilibria of the system have been found and observed that two equilibrium points always exist and are feasible, but the interior equilibrium point is feasible under a parametric condition. The local stability of the three equilibria has been analyzed. The interior equilibrium point is locally asymptotically stable under a parametric condition. It is examined that a flip and Neimark–Sacker bifurcations have occurred in the system at the axial equilibrium point. The flip and Neimark–Sacker bifurcations have been analyzed by the center manifold theorem and bifurcation theory, considering the harvesting coefficient as the bifurcation parameter. The proposed discrete model with a nonlinear Michaelis–Menten type harvesting effect on the predator population exhibits rich dynamics; for instance, bifurcations, chaos, and more complex dynamical behaviors. The discrete-time model also produced few numerical simulation results that are more accurate than the continuous model. The proposed discrete model will be performed better than the continuous model in populations with non-overlapping generations or smaller densities. The harvesting coefficient’s optimal value has finally been identified, and an optimal harvesting policy has been introduced. To verify the results, further numerical simulations have been performed.

April 17, 2023

An inspect on rational solutions to the generalized Boussinesq-type equation

Jian-Gen Liu, Yu-Feng Zhang

Page range: 511-515

Abstract

In this letter, we derived a new generalized Boussinesq-type equation on the basis of the generalized bilinear derivative with the prime number p = 3. By searching for a general form of rational solution to the new generalized Boussinesq-type equation, we found that this new model only contains a form of solution of the degree of F = F ( x , t ) with respect to x must be less than or equal to 1. Immediately after, a conjecture related to this result was put forward. Besides, we analyzed this obtained rational solution evolutionary processes by 3D-and 2D-graphs.

April 27, 2023

Symmetry analysis of the constant acceleration curve equation

Mehmet Pakdemirli

Page range: 517-524

Abstract

Lie group theory is applied to the curve equation which maintains constant normal accelerations for a vehicle with constant deceleration. The curve equation is a third order nonlinear ordinary differential equation for which the symmetries are calculated. It is shown that the equation possesses four-parameter Lie group of transformations including scaling, rotation and translational symmetries. In the case of constant velocity, the algebra increases to a six-parameter Lie group of transformations. Using the symmetries of the differential equation, the group invariant solutions are determined first. The conditions for group invariant solutions to exist are given. By employment of the symmetries, a solution is obtained by reduction of order also. It is found that the nontrivial solutions are of implicit complex forms.

Gravitation & Cosmology

Open Access April 21, 2023

The Friedmann–Lemaître–Robertson–Walker metric and the principle of equivalence

Fulvio Melia

Page range: 525-533

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Abstract

The evidence in favor of a Universe expanding at a constant rate, in contrast to the various episodes of deceleration and acceleration expected in the standard model, has been accumulating for over a decade now. In recent years, this inference has been strengthened by a study of the Friedmann–Lemaître–Robertson–Walker (FLRW) metric in relation to Einstein’s principle of equivalence. This earlier work concluded that the choice of lapse function g tt = 1 characterizing the FLRW solution to Einstein’s equations is inconsistent with any kind of accelerated cosmic expansion. In this paper, we demonstrate and confirm this important result by directly testing the self-consistency of four well-known FLRW cosmologies. These include the Milne universe, de Sitter space, the Lanczos universe, and the R h = ct model. We show that only the constantly expanding models (Milne and R h = ct ) are consistent with the principle of equivalence, while de Sitter and Lanczos fail the test. We discuss some of the many consequences of this conclusion.

Solid State Physics & Materials Science

April 10, 2023

Differential equations of oscillation of thin plates with point bonding

Gulnaz Berikkhanova, Oraltay Zholymbayev, Almir Aniyarov

Page range: 535-556

Abstract

The relevance of the research results presented in this article lies in the general concept of elasticity theory, which integrates the bases of theoretical-empirical physics, practical mathematics and the natural implementation of modelling results in the fields of industrial (to a large extent in the design and manufacture of aircraft and naval aircraft shells and fuselages), construction (more so in the design and formation of multi-layer building structures), electronics and other areas of the science and industry complex. The aim of the study is to form a mathematical model of thin plate vibration based on a system of differential equations for the computational case of point bonding. The method of scientific search (Multilocal Literature Review) is used to achieve the set goal, which made it possible to establish the actual scientific-theoretical basis of the investigated problem, the method of mathematical modelling allowing to systematize the systems of differential equations developed earlier and formed in the framework of the present study, both for the general concept of the theory of elasticity of thin plates and for a selected calculation situation with partial constraints in the form of point bond imposing. As a result of the investigations conducted in the framework of this study, a mathematical model of the oscillations of thin plates bounded by special point-coupling conditions has been obtained, consisting of a system of differential equations obtained by successive iterations of mathematical transformations for the generated local boundary conditions. The mathematical model obtained is of practical scientific interest. The developed model environment forms a complete mathematical theory of elasticity for the formulated problem of the oscillatory process of thin plates with bounding point couplings. This problem has not received a satisfactory mathematical apparatus because of the complexity and cumbersomeness of analytical methods to describe the investigated elastic object.

April 10, 2023

Synthesis of SnO₂ nanoparticles coated ZnO–g–C₃N₄ composite nanostructures with novel antibacterial activity

Muhammad Baqar Hussain Shah, Qaisar Mansoor, Tariq Jan, Zahid Farooq, Syed Zafar Ilyas

Page range: 557-562

Abstract

In this work, composite nanostructures (CNs) of SnO 2 –ZnO–g–C 3 N 4 have been prepared by a soft chemical method and investigated for their potential application in photocatalytic remediation of organics in water and antibacterial agents. Structural study revealed the presence of three phases related to hexagonal wurtzite phase of ZnO, tetragonal phase of SnO 2 and monoclinic phase of g–C 3 N 4 having nanocrystalline nature which confirms the formation of CNs. Formation of nanoscale morphology along with elemental composition of the CNs have been validated through scanning electron microscopy (SEM) coupled with energy dispersive X-ray (EDX) spectroscopy. The presence of only A 1g mode of SnO 2 in Raman spectrum of ternary CNs suggested that SnO 2 nanoparticles have been coated on the surfaces of ZnO and g–C 3 N 4 which is also evident from SEM results. SnO 2 –ZnO–g–C 3 N 4 CNs have shown much higher photocatalytic degradation efficiency and produced 7 mm greater zone of inhibition (ZOI) against Gram-positive S. Aureus bacteria as compared to pure ZnO which is quite significant result when compared to previously reported results for SnO 2 –ZnO CNs. These synthesized CNs may have potential uses in healthcare technology and treatment of organics in water.

March 27, 2023

Influence of Mn doping on electrical properties of TiO₂/Si heterojunction diode

Silan Baturay, Omer Bicer, Serap Yigit Gezgin, Ilhan Candan, Hadice Budak Gumgum, Hamdi Sukur Kilic

Page range: 563-578

Abstract

In this special work, two types of material, which are undoped and Mn doped TiO 2 thin films, have been produced by spin coating technique, and then their structural, morphological and optical properties have been measured at different Mn doping rates. Four different doping ratios, undoped, 1, 3 and 5% Mn doped TiO 2 have been both experimentally and theoretically investigated and some significant enhancements have been reported. The results of X-ray diffraction (XRD) such as dislocation density, strain, and crystallite size have indicated that undoped, 1, 3 and 5% Mn doped TiO 2 thin films had the phase of anatase at 450 °C. It has been observed that the peak intensity of 3% Mn doped TiO 2 films has decreased compared to undoped and 1% Mn doped TiO 2 while the peak intensity has increased for 5% Mn doped TiO 2 . The refractive indices and dielectric coefficients of the undoped and Mn doped TiO 2 thin films have also been calculated. The undoped and Mn doped TiO 2 /p-Si heterojunction diodes has exhibited photosensitive behaviour in the illuminated environment. 1% Mn doped TiO 2 /p-Si heterojunction diode indicated the highest photocurrent. The electrical parameters of all diodes have been calculated and compared to the conventional J – V and Norde methods. Additionally, 1% Mn doped TiO 2 /p-Si heterojunction diode has been modelled by using the SCAPS-1D program, and J ph values have also been calculated based on the shallow donor density ( N D ). The experimental and theoretical J ph values of this diode were found to be compatible with each other.

Ahead of Print / Just Accepted

Ahead of Print / Just Accepted

Volume 78 (2023)

Volume 77 (2022)

Volume 76 (2021)

Volume 75 (2020)

Volume 74 (2019)

Volume 73 (2018)

Volume 72 (2017)

Volume 71 (2016)

Volume 70 (2015)

Volume 69 (2014)

Volume 68 (2013)

Volume 67 (2012)

Volume 66 (2011)

Volume 65 (2010)

Volume 64 (2009)

Volume 63 (2008)

Volume 62 (2007)

Volume 61 (2006)

Volume 60 (2005)

Volume 59 (2004)

Volume 58 (2003)

Volume 57 (2002)

Volume 56 (2001)

Volume 55 (2000)

Volume 54 (1999)

Volume 53 (1998)

Volume 52 (1997)

Volume 51 (1996)

Volume 50 (1995)

Volume 49 (1994)

Volume 48 (1993)

Volume 47 (1992)

Volume 46 (1991)

Volume 45 (1990)

Volume 44 (1989)

Volume 43 (1988)

Volume 42 (1987)

Volume 41 (1986)

Volume 40 (1985)

Volume 39 (1984)

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Volume 33 (1978)

Volume 32 (1977)

Volume 31 (1976)

Volume 30 (1975)

Volume 29 (1974)

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Volume 22 (1967)

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Volume 12 (1957)

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Volume 9 (1954)

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Volume 6 (1951)

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Volume 4 (1949)

Volume 3 (1948)

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Volume 1 (1946)

5-year Journal Impact Factor	1.319
CiteScore	2.7
Journal Impact Factor	1.712
Journal Citation Indicator	0.31
SCImago Journal Rank	0.313
Source Normalized Impact per Paper	0.568

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Editorial

Editor in Chief
Martin Holthaus (Oldenburg)

Honorary Editor
Siegfried Großmann (Marburg)

Editors
Gernot Alber (Darmstadt)
Claus Kiefer (Köln)
Klaus Morawetz (Münster)
Jürgen Schnack (Bielefeld)

Advisory Board
Ulrich Eckern (Augsburg)
Condensed Matter Theory
Theory of Superconductivity and Superfluid Helium
Unconventional Superconductors near Interfaces
Quantum Mechanics

Thomas Elze (Pisa)
Quantum-classical Hybrid Systems
Quantum Decoherence
QCD Transport Theory
Quark-gluon Plasma
Statistical Mechanics

Jan Honolka (Prag)
Nano-Magnetism and Magnetism
Physics of Surfaces and Surface Science
X-ray Spectroscopy

Albrecht Klemm (Bonn)
Quantum Field Theory
Mathematical Physics
Gravity, String Theory

Thorsten Klüner (Oldenburg)
Quantum Chemistry
Density Functional Theory (DFT)
Development of Embedding Methods
Dissipative Quantum Dynamics
Electronically Excited States
Photochemistry on Surfaces

Shijun Liao (Shanghai)
Nonlinear Mechanics
Computational Fluid Dynamics
Ocean Engineering

Stefan Lochbrunner (Rostock)
Atomic and Molecular Physics
Dynamics of Molecular Systems

Detlef Lohse (Twente)
Hydrodynamics

Willi-Hans Steeb (Johannesburg)
Dynamical Systems
Quantum Information Theory

Aneta Stefanovska (Lancaster)
Complex Systems
Biological, Cardiovascular, Neural Systems
Time Series Analysis
Coupled Oscillators, Synchronization

Weigang Sun (Hangzhou)
Applied Mathematics
Differential Equations
Nonlinear Systems
Nonlinear Control

Martin Zirnbauer (Köln)
Theoretical Physics (Mathematical Foundations)
Field Theory of Disordered and Mesoscopic Systems
Topological Quantum Matter

Editorial Office
Ulrike Kitzing, De Gruyter, Genthiner Straße 13, 10785 Berlin, Germany
Email: zna [at] degruyter.com

(Deutsch)

Online ISSN: 1865-7109
Print ISSN: 0932-0784
Type: Journal
Language: English
Publisher: De Gruyter
First published: February 20, 1946
Publication Frequency: 12 Issues per Year
Audience: Theoretical and experimental physicists, anyone interested in journal's topics

Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Frontmatter

The Standard Model and quantum state reduction from Heim’s field theory

Abstract

Bifurcation analysis of a discrete type prey-predator model with Michaelis–Menten harvesting in predator

Abstract

An inspect on rational solutions to the generalized Boussinesq-type equation

Abstract

Symmetry analysis of the constant acceleration curve equation

Abstract

The Friedmann–Lemaître–Robertson–Walker metric and the principle of equivalence

Abstract

Differential equations of oscillation of thin plates with point bonding

Abstract

Synthesis of SnO2 nanoparticles coated ZnO–g–C3N4 composite nanostructures with novel antibacterial activity

Abstract

Influence of Mn doping on electrical properties of TiO2/Si heterojunction diode

Abstract

Synthesis of SnO₂ nanoparticles coated ZnO–g–C₃N₄ composite nanostructures with novel antibacterial activity

Influence of Mn doping on electrical properties of TiO₂/Si heterojunction diode