In diesem Lehrbuch werden folgende Themengebiete abgedeckt: Kinematik, Massenpunkt- und Starrkörperkinetik, Mehrkörpersysteme und schwingungsfähige Systeme – einschließlich ausgewählter Fragestellungen der sogenannten Maschinendynamik.
Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy.
The objective of this book is to get the reader acquainted with theoretical and mathematical foundations of the concept of Wilson loops in the context of modern quantum fi eld theory.
For scientists, students, and curious laypersons, this compilation, Proofs and Logical Arguments Supporting the Foundational Laws of Physics: A Handy Guide for Students and Scientists examines the most important laws and relationships taught in science courses, attaching a short and accessible proof or logical argument for each assertion.
In einer umfassenden Darstellung entwickeln und vertiefen die vier Bände dieses Lehrbuchs das Gebäude der nichtrelativistischen Quantenmechanik, weshalb sie auch bestens als Nachschlagewerk geeignet sind.
Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy.
This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled quantum field theories.
This thesis is a tour-de-force combination of analytic and computational results clarifying and resolving important questions about the nature of quantum phase transitions in one- and two-dimensional magnetic systems.
This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective.
Focusing on the fundamentals of machine learning, this book covers broad areas of data-driven modeling, ranging from simple regression to advanced machine learning and optimization methods for applications in materials modeling and discovery.
This book begins with the eigenvalue equation of energy and presents calculation of the energy spectrum of GaAs-AlGaAs Quantum Well using finite difference method and knowledge of potential energy profile, without using expressions for eigenfunctions, continuity of eigenfunctions, or their spatial derivatives at the two abrupt potential steps.
This book builds bridges between two yet separated branches of theoretical and mathematical chemistry: Chemical Graph Theory and Electronic Structure Calculations.
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory.
In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero.
This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics.
This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics.
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable.
In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems.
Am Ende des Zweiten Weltkriegs wurde Albert Einstein eingeladen, seine intellektuelle Autobiografie für die Library of Living Philosophers zu schreiben.
This book begins with the eigenvalue equation of energy and presents calculation of the energy spectrum of GaAs-AlGaAs Quantum Well using finite difference method and knowledge of potential energy profile, without using expressions for eigenfunctions, continuity of eigenfunctions, or their spatial derivatives at the two abrupt potential steps.
The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves.
Dieses Buch bietet einen Überblick über die neuesten Implementierungen von Quanten-Zufallszahlengeneratoren (QRNGs) und untersucht insbesondere deren Beziehung zu klassischen statistischen Zufallsmodellen und numerischen Techniken zur Berechnung von Zufallszahlen.
Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory.
This work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions.
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables.
This work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions.
Durch das Konzept der physikalischen Größe als Produkt von Zahlenwert und Einheit besitzen die Gleichungen der Physik eine Struktur, die sich mit den Methoden der Dimensionsanalyse zur Lösung physikalischer Probleme nutzen lässt.
Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation.
In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order.