Ioan Merches's Books

Scale Transitions As Foundations Of Physics

By: Ioan Merches,Maricel Agop,Nicolae Mazilu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Scale Transitions As Foundations Of Physics

By: Ioan Merches,Maricel Agop,Nicolae Mazilu

The scale transitions are essential to physical knowledge. The book describes the history of essential moments of physics, viewed as necessary consequences of the unavoidable process of scale transition, and provides the mathematical techniques for the construction of a theoretical physics founded on scale transition. The indispensable mathematical technique is analyticity, helping in the construction of space coordinate systems. The indispensable theoretical technique from physical point of view is the affine theory of surfaces. The connection between the two techniques is provided by a duality in defining the physical properties.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

429

Publisher

World Scientific

Published Date

ISBN 10

9811231885

ISBN 13

9789811231889

Insight On Multifractal Dynamics Of Ns-laser Produced Plasmas

By: Stefan Andrei Irimiciuc,Maricel Agop,Ioan Merches

Write a review Read reviews Take a Quiz Solve Book Puzzle

Insight On Multifractal Dynamics Of Ns-laser Produced Plasmas

By: Stefan Andrei Irimiciuc,Maricel Agop,Ioan Merches

Fourteen years after the first proposal of a fractal theoretical model to understand the dynamics of laser produced plasma, a complete image of the model is projected on a wide range of empirical data related to laser produced plasmas.The book tackles the two sides of laser produced plasmas with experimental data on a wide range of materials, from metallic alloys to geological samples and the associated mathematical model is developed in the multifractal theory of motion. A new perspective is explored in analyzing and interpreting the data collected by electrical or optical methods, focusing especially on the charged particles dynamics and the nature of fractal fluctuations and their influence during measurements as well as to the scattering process and plasma splitting phenomena, all seen through the lens of multifractal physics.The book offers the best presentation of the multifractal theoretical model for the study of transient phenomena in laser produced plasmas, which focus leads to a balanced development of the model showcasing both the flexibility and the unique vision of a multifractal mathematical apparatus.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

233

Publisher

World Scientific

Published Date

ISBN 10

9811270686

ISBN 13

9789811270680

Mechanics

An Intensive Course

By: Masud Chaichian,Ioan Merches,Anca Tureanu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mechanics

An Intensive Course

By: Masud Chaichian,Ioan Merches,Anca Tureanu

Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics, quantum mechanics, classical and quantum field theory, special and general theory of relativity, etc. More than that, there are some formalisms like Lagrangian and Hamiltonian approaches, which represent the key stone for the development of the above-mentioned disciplines. During the last 20-25 years, classical mechanics has undergone an important revival associated with the progress in non-linear dynamics, applications of Noether’s theorem and the extension of variational principles in various interdisciplinary sciences (for instance, magnetofluid dynamics). Thus, there ought to exist a book concerned with the applied analytical formalism, first developed in the frame of theoretical mechanics, which has proved to be one of the most efficient tools of investigation in the entire arena of science. The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers. The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

476

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642163904

ISBN 13

9783642163906

The Mathematical Principles of Scale Relativity Physics

The Concept of Interpretation

By: Nicolae Mazilu,Maricel Agop,Ioan Merches

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Mathematical Principles of Scale Relativity Physics

The Concept of Interpretation

By: Nicolae Mazilu,Maricel Agop,Ioan Merches

The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation explores and builds upon the principles of Laurent Nottale’s scale relativity. The authors address a variety of problems encountered by researchers studying the dynamics of physical systems. It explores Madelung fluid from a wave mechanics point of view, showing that confinement and asymptotic freedom are the fundamental laws of modern natural philosophy. It then probes Nottale’s scale transition description, offering a sound mathematical principle based on continuous group theory. The book provides a comprehensive overview of the matter to the reader via a generalization of relativity, a theory of colors, and classical electrodynamics. Key Features: Develops the concept of scale relativity interpreted according to its initial definition enticed by the birth of wave and quantum mechanics Provides the fundamental equations necessary for interpretation of matter, describing the ensembles of free particles according to the concepts of confinement and asymptotic freedom Establishes a natural connection between the Newtonian forces and the Planck’s law from the point of view of space and time scale transition: both are expressions of invariance to scale transition The work will be of great interest to graduate students, doctoral candidates, and academic researchers working in mathematics and physics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

256

Publisher

CRC Press

Published Date

ISBN 10

1000751023

ISBN 13

9781000751024

Operational Procedures Describing Physical Systems

By: Marciel Agop,Ioan Merches

Write a review Read reviews Take a Quiz Solve Book Puzzle

Operational Procedures Describing Physical Systems

By: Marciel Agop,Ioan Merches

The authors examine topics in modern physics and offer a unitary and original treatment of the fundamental problems of the dynamics of physical systems, as well as a description of the nuclear matter within a framework of general relativity. They show that some physical phenomena studied at two different resolution scales (e.g. microscale, cosmological scale), apparently with no connection between them, become compatible by means of the operational procedures, acting either as some ”hidden” symmetries, or harmonic-type mappings. The book is addressed to the students, researchers and university/high school teachers working in the fields of mathematics, physics, and chemistry.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

270

Publisher

CRC Press

Published Date

ISBN 10

0429679971

ISBN 13

9780429679971

Atomicity through Fractal Measure Theory

Mathematical and Physical Fundamentals with Applications

By: Alina Gavriluţ,Ioan Mercheş,Maricel Agop

Write a review Read reviews Take a Quiz Solve Book Puzzle

Atomicity through Fractal Measure Theory

Mathematical and Physical Fundamentals with Applications

By: Alina Gavriluţ,Ioan Mercheş,Maricel Agop

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

187

Publisher

Springer Nature

Published Date

ISBN 10

3030295931

ISBN 13

9783030295936

Mechanics

An Intensive Course

By: Masud Chaichian,Ioan Merches,Anca Tureanu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mechanics

An Intensive Course

By: Masud Chaichian,Ioan Merches,Anca Tureanu

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

476

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642163904

ISBN 13

9783642163906

Basics of Quantum Electrodynamics

By: Ioan Merches,Dorian Tatomir,Roxana E. Lupu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Basics of Quantum Electrodynamics

By: Ioan Merches,Dorian Tatomir,Roxana E. Lupu

Quantum electrodynamics (QED) is the branch of relativistic quantum field theory that deals specifically with the interactions between charged particles. It is widely used to solve problems in many areas of physics, such as elementary particles, atomic and molecular systems, and solid state physics. This accessible text, Basics of Quantum Electrodynamics, supplies a solid foundation in this dynamic area of physics, making a direct connection to the concepts of quantum mechanics familiar to the advanced undergraduate student. Chapters cover the general theory of free fields and the quantization of the scalar, electromagnetic, and spinorial fields, which prepares readers for understanding field interactions. The authors describe the general theory of field interactions, introducing the scattering matrix and the Feynman–Dyson graphs. They then discuss divergence-free second-order processes, such as Compton and Møller scattering, followed by divergent second-order processes, which cover vacuum polarization and mass and charge renormalization. Providing a modern, informative textbook, this volume illustrates the intimate connection between quantum mechanics and QED in two basic steps: the quantization of free fields, followed by the theory of their interactions. The text contains solved problems to facilitate the application of the theory, as well as a useful appendix on the theory of distributions. The step-by-step description of the quantization of various fields and the clear presentation of the most important interaction processes in QED make this textbook a useful guide for those studying physics at both the graduate and undergraduate level, as well as a reference for teachers and researchers in the field.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

352

Publisher

CRC Press

Published Date

ISBN 10

1466580372

ISBN 13

9781466580374

Analytical Mechanics

Solutions to Problems in Classical Physics

By: Ioan Merches,Daniel Radu

Write a review Read reviews Take a Quiz Solve Book Puzzle

Analytical Mechanics

Solutions to Problems in Classical Physics

By: Ioan Merches,Daniel Radu

Giving students a thorough grounding in basic problems and their solutions, Analytical Mechanics: Solutions to Problems in Classical Physics presents a short theoretical description of the principles and methods of analytical mechanics, followed by solved problems. The authors thoroughly discuss solutions to the problems by taking a comprehensive approach to explore the methods of investigation. They carefully perform the calculations step by step, graphically displaying some solutions via Mathematica® 4.0. This collection of solved problems gives students experience in applying theory (Lagrangian and Hamiltonian formalisms for discrete and continuous systems, Hamilton-Jacobi method, variational calculus, theory of stability, and more) to problems in classical physics. The authors develop some theoretical subjects, so that students can follow solutions to the problems without appealing to other reference sources. This has been done for both discrete and continuous physical systems or, in analytical terms, systems with finite and infinite degrees of freedom. The authors also highlight the basics of vector algebra and vector analysis, in Appendix B. They thoroughly develop and discuss notions like gradient, divergence, curl, and tensor, together with their physical applications. There are many excellent textbooks dedicated to applied analytical mechanics for both students and their instructors, but this one takes an unusual approach, with a thorough analysis of solutions to the problems and an appropriate choice of applications in various branches of physics. It lays out the similarities and differences between various analytical approaches, and their specific efficiency.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

453

Publisher

CRC Press

Published Date

ISBN 10

1482239396

ISBN 13

9781482239393

The Mathematical Principles of Scale Relativity Physics

The Concept of Interpretation

By: Nicolae Mazilu,Maricel Agop,Ioan Merches

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Mathematical Principles of Scale Relativity Physics

The Concept of Interpretation

By: Nicolae Mazilu,Maricel Agop,Ioan Merches

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

171

Publisher

CRC Press

Published Date

ISBN 10

1000751260

ISBN 13

9781000751260

Operational Procedures Describing Physical Systems

By: Marciel Agop,Ioan Merches

Write a review Read reviews Take a Quiz Solve Book Puzzle

Operational Procedures Describing Physical Systems

By: Marciel Agop,Ioan Merches

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

210

Publisher

CRC Press

Published Date

ISBN 10

042967998X

ISBN 13

9780429679988

Differentiability And Fractality In Dynamics Of Physical Systems

By: Ioan Merches,Maricel Agop

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differentiability And Fractality In Dynamics Of Physical Systems

By: Ioan Merches,Maricel Agop

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed.The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits.Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

299

Publisher

World Scientific

Published Date

ISBN 10

9814678406

ISBN 13

9789814678407

Free And Interacting Quantum Fields

By: Ioan Merches,Daniel Radu,Dorian Tatomir

Write a review Read reviews Take a Quiz Solve Book Puzzle

Free And Interacting Quantum Fields

By: Ioan Merches,Daniel Radu,Dorian Tatomir

Modern physics is characterized by two great theories, which make it fundamentally different from its predecessor: quantum theory and theory of relativity. In this book we want to bring to the reader's attention several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and galactic universe.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

739

Publisher

World Scientific

Published Date

ISBN 10

981314548X

ISBN 13

9789813145481

Book's by Ioan Merches

Scale Transitions As Foundations Of Physics

Scale Transitions As Foundations Of Physics

Insight On Multifractal Dynamics Of Ns-laser Produced Plasmas

Insight On Multifractal Dynamics Of Ns-laser Produced Plasmas

Mechanics

Mechanics

The Mathematical Principles of Scale Relativity Physics

The Mathematical Principles of Scale Relativity Physics

Operational Procedures Describing Physical Systems

Operational Procedures Describing Physical Systems

Atomicity through Fractal Measure Theory

Atomicity through Fractal Measure Theory

Mechanics

Mechanics

Basics of Quantum Electrodynamics

Basics of Quantum Electrodynamics

Analytical Mechanics

Analytical Mechanics

The Mathematical Principles of Scale Relativity Physics

The Mathematical Principles of Scale Relativity Physics

Operational Procedures Describing Physical Systems

Operational Procedures Describing Physical Systems

Differentiability And Fractality In Dynamics Of Physical Systems

Differentiability And Fractality In Dynamics Of Physical Systems

Free And Interacting Quantum Fields

Free And Interacting Quantum Fields

Username

Password

Username

Password

Password again

Birthday

Email