Format: Hardback, 166 pages, height x width: 235x155 mm, 32 Illustrations, color;
25 Illustrations, black and white; XIV, 166 p. 57 illus., 32 illus. in color.,
Pub. Date: 05-Apr-2025
ISBN-13: 9783031827242
This book offers a design-centered approach to quantum teleportation as well as in-depth analysis of various quantum teleportation schemes. Quantum teleportation, a vital component of practical quantum communication technologies, serves as a secure and reliable way to transmit confidential information. Quantum teleportation relies on the unique physical property of quantum superposition, accomplishing the remote transmission of information through unitary transformations and measurements on entangled states, combined with classical communication. Therefore, as one of the safe and reliable means of quantum state transmission between communicating parties, quantum teleportation is bound to play a vital role in future quantum communication. This book begins with the basics of quantum teleportation before going on to consider various refinements such as controlled, bidirectional, cyclic, symmetric, and asymmetric scenarios. It goes further, investigating a multitude of quantum teleportation schemes in bidirectional, controlled bidirectional, cyclic bidirectional, asymmetric cyclic controlled, and noisy environments, and conducts detailed performance analyses of these schemes. This book is an essential resource for students, researchers, and professionals in the field of quantum communications.
Chapter 1. Introduction.
Chapter 2. The Basic Concept of Quantum Information.
Chapter 3. Bidirectional Quantum Teleportation.
Chapter 4. Controlled Bidirectional Quantum Teleportation.
Chapter 5. Cyclic Quantum Teleportation.
Chapter 6. Quantum Teleportation in Noisy Environment.
Format: Paperback / softback, 121 pages, height x width: 235x155 mm, 5 Illustrations, color; 11 Illustrations, black and white; X, 121 p. 16 illus., 5 illus. in color.,
Series: SpringerBriefs in Mathematics
Pub. Date: 09-Apr-2025
ISBN-13: 9789819630011
The main themes of this book are non-Kahler complex surfaces and strongly pseudoconcave complex surfaces. Though there are several notable examples of compact non-Kahler surfaces, including Hopf surfaces, Kodaira surfaces, and Inoue surfaces, these subjects have been regarded as secondary to Kahler manifolds and strongly pseudoconvex manifolds. Recently, however, the existence of uncountably many non-Kahler complex structures on the 4-dimensional Euclidean space has been shown by Di Scala, Kasuya, and Zuddas through their construction. Furthermore, Kasuya and Zuddas' handlebody construction reveals that strongly pseudoconcave surfaces have flexibility with respect to both four-dimensional topology and boundary contact structures. These constructions are based on the knowledge of differential topology and contact geometry, and provide examples of fruitful applications of these areas to complex geometry. Thus, for (especially non-compact) non-Kahler complex surfaces and strongly pseudoconcave complex surfaces, it is not an exaggeration to say that the research is still in its infancy, with numerous areas yet to be explored and expected to develop in the future.
Chapter 1.Preliminaries.
Chapter 2. Compact Complex Surfaces.
Chapter 3. Elliptic Surfaces and Lefschetz Fibrations.
Chapter 4. Non-Kahler Complex Structures on R2.
Chapter 5. Strongly Pseudoconvex Manifolds.
Chapter 6. Contact Structures.
Chapter 7. Strongly Pseudoconcave Surfaces and Their Boundaries.
Bibliog. data: 2025. xviii, 264 S. XVIII, 264 p. 235 mm
Series: Fundamental Theories of Physics 218
ISBN-13: 9783662702970
By describing examples of four fundamental physical theories, this work of Erhard Scheibe presents an important and powerful approach to reduction in physics. Novel to the approach is that it is based not on a single eternally valid concept of reduction, but on a series of recursively constructed reductions, with which all reductions appear as combinations of very specific elementary reductions. In addition to the kinds of reduction introduced in the first volume, the limiting case reduction is included as a new reduction type here, which becomes effective in combination with those introduced earlier. This second volume demonstrates the far-reaching consequences of the concept for selected examples in physics: Special and General Relativity Theory, and Quantum Mechanics. A separate chapter is dedicated to the subtle concept of micro-reduction and to kinetic theory. The book is systematically organized and intended for readers interested in philosophy of science as well as phys
icists without deep philosophical knowledge.
Introduction.- Reduction to relativistic theories.- Reduction to general relativity.- Micro-reductions.- Classical mechanics and quantum mechanics.
Bibliog. data: 2025. xii, 556 S. XII, 556 p. 235 mm
Series: Fundamental Theories of Physics 220
ISBN-13: 9783031832123
This book offers a fundamental description of physics using classical probabilities for events occurring at all times and locations throughout the Universe. The laws of quantum mechanics emerge naturally when focusing on a specific moment in time. Each step is explained in detail through simple systems, such as bits, Ising spins, or fermionic occupation numbers, allowing readers to grasp the core concepts of the modern functional integral approach to fundamental physics without requiring prior knowledge. Notably, probabilistic cellular automata are presented as intriguing quantum systems or as representations of fermionic quantum field theories. Embedding quantum mechanics within classical statistics opens up new avenues for computing, particularly through the use of correlation functions. A small neuromorphic computer, for instance, can learn basic quantum operations without the typical requirement for extreme isolation, as is the case with conventional quantum computers. On
a philosophical level, the book proposes a fresh perspective on science. The content is aimed at readers with a foundational understanding of physics, suitable for advanced students.
1 The classical and the quantum world.- 2 Qubit automaton.- 2 Entanglement in classical and quantum statistics.- 4 Continuous classical variables.- 5 Quantum mechanics.- 6 Correlated computing.- 7 Conditional probabilities and measurements.- 8 The "paradoxes" of quantum Mechanics.- 9 Embedding quantum mechanics in classical statistics.- References.
Christof Wetterich has been a Professor of Theoretical Physics at Heidelberg University since 1992. Prior to that, he worked at DESY in Hamburg and CERN in Geneva. He has authored numerous papers on quantum mechanics and regularly delivers lectures on the subject. His research spans a broad range of areas within fundamental physics. In cosmology, he is best known for being the first to propose the concept of dynamical dark energy. He also derived a functional renormalization group equation, which is widely applied across many fields of physics, from superconductors to strong interactions in particle physics and quantum gravity. In particle physics, Prof. Wetterich proposed a mechanism to explain why neutrino masses are so small. He has published more than 300 papers, which are highly cited.
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Format: Hardback, 419 pages, height x width: 235x155 mm, 83 Illustrations, color;
91 Illustrations, black and white; X, 419 p. 174 illus., 83 illus. in color
Series: Springer Proceedings in Mathematics & Statistics 484
Pub. Date: 21-Apr-2025
ISBN-13: 9789819615049
This book comprises carefully selected contributions derived from plenary and invited talks delivered during the International Conference on Mathematics of Intelligent Computing and Data Science (ICMICDS-22), held at the Rajagiri School of Engineering and Technology, Cochin, India, from 15 to 17 September 2022. The volume encompasses a diverse spectrum of subjects, including but not limited to artificial intelligence, machine learning, data analysis, and optimization. Acting as a valuable forum, this volume offers a pivotal platform for both researchers and practitioners to showcase their scholarly endeavors. It facilitates vibrant discussions on the latest advancements and serves as an avenue for the exploration of novel research trajectories within the realm of intelligent computing and data science.
Chapter 1 Study on marketing dynamics on sales of electric vehicles and swot analysis.
Chapter 2 Stability Analysis and Backward Bifurcation of Malaria Model.
Chapter 3 Mathematical model for diabetes using fuzzy parameters.
Chapter 4 Fuzzy iterated function systems.
Chapter 5 Introduction to Interval-valued Neutrosophic Hyper-soft Expert Set.
Chapter 6 Fuzzy Fractal Dimension of Covid-19 Variant Protein.
Chapter 7 A study of Intuitionistic Fuzzy Graph using Morphological operators and its application.
Chapter 8 Edge weight-based colouring and matching in inhomogeneous random graphs.
Chapter 9 Super Domination Number of Cycle based Graphs and Comb Product of Graphs.
Chapter 10 Sum Divisor Cordial Labelling for Middle Graph and Total Graph of Some Graphs.
Chapter 11 On the Core and Noncore vertices of Singular Graphs.
Chapter 12 On C-Perfection of Modular Product of Graphs.
Chapter 13 A study on topological indices of bipartite Kneser B type-1 graphs.
Chapter 14 On jumping graph grammars.-
Chapter 15 Some eigen value properties of Uniform Hyperstar Using recurrence relation.
Chapter 16 A study On Ramanujan graphs.
Chapter 17 On the exponential Diophantine equation related To the powers of Cluster Primes.-
Chapter 18 Structure of different categories of Diophantine 3-tuples ap-propriate (????,??)-centred polygonal numbers.-
Chapter 19 A Birth-Death Process with Temporary Growth Halts and Population Independent Death Rate.
Chapter 20 Comparison of Vacation and Mt/Mt/1 Queueing Models for Traffic Flow at Signalized Intersections.
Chapter 21 Study of Birth-Death Processes with Growth Interruptions.
Format: Hardback, 477 pages, height x width: 235x155 mm, 55 Illustrations, color;
9 Illustrations, black and white; X, 477 p. 64 illus., 55 illus. in color.,
Series: Springer Proceedings in Mathematics & Statistics 488
Pub. Date: 12-Apr-2025
ISBN-13: 9783031833977
This volume compiles selected papers focusing on the applications of differential equations across various scientific domains, presented at the International Conference "New Trends in the Applications of Differential Equations in Sciences" (NTADES), which took place in Saints Constantine and Helena, Bulgaria, in July 2024.
The book is organized around several key themes, including applications in mathematical physics, mathematical biology, financial mathematics, fractional analysis, numerical methods, and neuroscience. The covered applications encompass diverse topics such as mechanics, neural networks in insurance, credit portfolios, predator-prey systems with fractional derivatives, recent findings regarding COVID-19 epidemic waves, memristive cellular nonlinear networks, and more.
By promoting fundamental research in mathematics, this book aims to develop new methods and techniques that can effectively address real-life challenges through the application of differential equations.
Part1.Applications in Mathematical Physics.- Ground states of
Schrodinger-Poisson-Slater equations with linear non-local
terms.- Interpolation of Sobolev spaces for Laplace operator with contact
interaction.-Exact travelling wave solutions to several fully nonlinear PDE
and radial solutions of boundary value problem to the Liouville equation in
circular domains in the plane.- Recent developments in the methodology of the
Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear
differential equations.- Forward stability conditions and
applications.- Exact solutions of the Troeschs problem.- Pavlina Atanasova,
Valentin Georgiev, On the special cases of the Jacobi elliptic function
solutions of the (2+1)-dimensional Sine-Gordon equation.- An application of
the method of simplest equation for exact real solutions of the model for
spatial - time interaction of populations.- A characterization of the
K-functional for the algebraic version of the trigonometric Jackson integrals
Gs,n in generalized weighted integral metric.- Mixed semicontinuous fully
nonlinear evolution inclusions.- Nonlinear waves in the
diffusion-advection-reaction model of interacting populations incorporating
nonlocal effects and long range diffusion.- Physic informed neural networks
for solving nonstandard initial-boundary value problem for second order
hyperbolic equation.- Approximate solution of the optimal control problem
with the Hukuhara derivative equation with rapidly fluctuating coefficients
on a finite interval.- Travelling wave solutions of the Wu-Zhang system of
PDE.- Physics informed neural networks for solving predator-prey models.-
Part2. Applications in Mechanics.- On nonlinear waves in microtubules
generated by means of a linear simple equation.- On a mathematical model
describing pollution processes in a channel.- On nonlinear waves in
microtubules generated by means of simple equation of Bernoulli
kind.- Analysis of non-periodic buckling in an axisymmetric thin uniform
shell.- On nonlinear waves in microtubules.- An education facility for design
and mathematical modeling of 4 bar linkage mechanism.- Part3. Applications in
Numerical Methods and Computer Science.- An improved interpolation error
estimate from a new Taylor-like formula: Application to finite element
method.- Mixed finite element method applied to sixth-order eigenvalue
problem.- Advanced unbiased Monte Carlo for multidimensional Fredholm
integral equations.- Novel stochastic sequences for multidimensional air
pollution modelling.- Advanced stochastic method for linear algebraic
systems.- Stochastic approaches for the mutidimensional Volterra integral
equation.- Numerical analysis of a difference scheme family for solving
semilinear hyperbolic PDEs.- Numerical solution of switched systems with
delay.- Part4. Applications in Financial Mathematics.- Multicriteria
optimization approach for investment project financing evaluation and
decision making.- Application of weighted t-tests for loss-given-default
forecasts validation.- A comparison of deep neural network and convolutional
neural network for credit card fraud detection.- Studying the dependency
between household income and consumption of basic food commodities in
Bulgaria.- Accurate lattice-based models for pricing European options.-
Advanced Monte Carlo optimizations for multidimensional European style
options.- Part5. Applications in Mathematical Biology.- Comparison of exact
solutions of model equations connected to the SIS and SIR model of epidemics
spread.- Comparison of exact solutions of model equations connected to the
SIR and SEIR model of epidemic spread.- Part6. Applications in Fractional
Analysis.- Ulam type stability of Volterra fractional integral equations of
variable-order.- Exact solitary wave solutions of the time-fractional
fifth-order KdV-type equation via extended Simple Equations
Method(SEsM).- Existence for a nonlinear boundary value problem for
Riemann-Liouville fractional differential equations of variable order.