Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Second Edition)

Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Second Edition)
Author: Maurice A De Gosson
Publisher: World Scientific
Total Pages: 423
Release: 2016-11-10
Genre: Science
ISBN: 9813200987

The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the 'principle of the symplectic camel', which is a deep topological property of Hamiltonian flows. We introduce the notion of 'quantum blob', which can be viewed as the fundamental phase space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of the 'metatron' is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect.

The Principles of Newtonian and Quantum Mechanics

The Principles of Newtonian and Quantum Mechanics
Author: Maurice A. De Gosson
Publisher:
Total Pages: 423
Release: 2016
Genre: SCIENCE
ISBN: 9789813200975

"The second edition of this book deals, as the first, with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the "principle of the symplectic camel", which is a deep topological property of Hamiltonian flows. We introduce the notion of "quantum blob", which can be viewed as the fundamental physe space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigrous form, and the Leray index of a pair of Lagrangian planes. The concept of the "metatron" is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect"--

Physics and Unification Thought

Physics and Unification Thought
Author: Ching-Ching Chang
Publisher: Lulu.com
Total Pages: 147
Release: 2014-01-28
Genre: Science
ISBN: 130479914X

The history of modern physics and its culmination when combined with the basic concepts of Unification Thought.

Classic and High-Enthalpy Hypersonic Flows

Classic and High-Enthalpy Hypersonic Flows
Author: Joseph J.S. Shang
Publisher: CRC Press
Total Pages: 327
Release: 2023-04-28
Genre: Science
ISBN: 1000876993

Classic and High-Enthalpy Hypersonic Flows presents a complete look at high-enthalpy hypersonic flow from a review of classic theories to a discussion of future advances centering around the Born-Oppenheim approximation, potential energy surface, and critical point for transition. The state-of-the-art hypersonic flows are defined by a seamless integration of the classic gas dynamic kinetics with nonequilibrium chemical kinetics, quantum transitions, and radiative heat transfer. The book is intended for graduate students studying advanced aerodynamics and taking courses in hypersonic flow. It can also serve as a professional reference for practicing aerospace and mechanical engineers of high-speed aerospace vehicles and propulsion system research, design, and evaluation. Features Presents a comprehensive review of classic hypersonic flow from the Newtonian theory to blast wave analogue. Introduces nonequilibrium chemical kinetics to gas dynamics for hypersonic flows in the high-enthalpy state. Integrates quantum mechanics to high-enthalpy hypersonic flows including dissociation and ionization. Covers the complete heat transfer process with radiative energy transfer for thermal protection of earth reentry vehicle. Develops and verifies the interdisciplinary governing equations for understanding and analyzing realistic hypersonic flows.

Unified Field Mechanics Ii: Formulations And Empirical Tests - Proceedings Of The Xth Symposium Honoring Noted French Mathematical Physicist Jean-pierre Vigier

Unified Field Mechanics Ii: Formulations And Empirical Tests - Proceedings Of The Xth Symposium Honoring Noted French Mathematical Physicist Jean-pierre Vigier
Author: Richard L Amoroso
Publisher: World Scientific
Total Pages: 652
Release: 2018-01-08
Genre: Science
ISBN: 9813232056

This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.

Black Holes and Time Warps

Black Holes and Time Warps
Author: Kip S Thorne
Publisher: W. W. Norton & Company
Total Pages: 648
Release: 1994
Genre: Science
ISBN: 9780393312768

In this masterfully written and brilliantly informed work, Dr. Rhorne, the Feynman Professor of Theoretical Physics at Caltech, leads readers through an elegant, always human, tapestry of interlocking themes, answering the great question: what principles control our universe and why do physicists think they know what they know? Features an introduction by Stephen Hawking.

The Maslov Index in Symplectic Banach Spaces

The Maslov Index in Symplectic Banach Spaces
Author: Bernhelm Booß-Bavnbek
Publisher: American Mathematical Soc.
Total Pages: 134
Release: 2018-03-19
Genre: Mathematics
ISBN: 1470428008

The authors consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, they obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions the authors define the Maslov index of the curve by symplectic reduction to the classical finite-dimensional case. The authors prove the transitivity of repeated symplectic reductions and obtain the invariance of the Maslov index under symplectic reduction while recovering all the standard properties of the Maslov index. As an application, the authors consider curves of elliptic operators which have varying principal symbol, varying maximal domain and are not necessarily of Dirac type. For this class of operator curves, the authors derive a desuspension spectral flow formula for varying well-posed boundary conditions on manifolds with boundary and obtain the splitting formula of the spectral flow on partitioned manifolds.

Causality II. A Theory of Energy, Time and Space

Causality II. A Theory of Energy, Time and Space
Author: Ilija Baruk?i?
Publisher: Lulu.com
Total Pages: 378
Release: 2008-11-07
Genre: Science
ISBN: 1409229548

---------- Volume 2 (August 21th, 2010) ---------- : This highly original book gives an exact insight into the philosophical, logical, mathematical and physical foundations of causality.Causality is designed to provide both, the new methodology for making causal inferences on the basis of (non-) experimental data and the underlying theory. The new mathematical tools for evaluating causal relationships from (non-) experimental data are presented in the simplest and most intelligible form.Causality is thus an excellent book for self study and a pragmatic help for researchers. Anyone who wishes to elucidate cause effect relationships from (non-) experimental data will find this book invaluable. The reader will enjoy to read and use this book. Finally, a unified mathematical and statistical model of causation is available.

Reticular Chemistry and Applications

Reticular Chemistry and Applications
Author: Youssef Belmabkhout
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 532
Release: 2023-01-30
Genre: Technology & Engineering
ISBN: 1501516302

At a fundamental level, reticular chemistry offers an intellectually-stimulating journey through discovery, rational design, structural characterization, and technology-driven properties and applications. The breadth of science, techniques, and applications experienced through reticular chemistry is unseen in other fields. Accordingly, based on 30 years of reported research, Reticular Chemistry and Applications: Metal-Organic Frameworks critically details the most important knowledge and know-how available to help old and new reticular chemists alike embark on a project based on these fascinating materials. Overview of the state-of-the-art approaches in design, synthesis, and structural characterization of metal-organic frameworks (MOFs) MOFs applied toward carbon dioxide capture and conversion, methane and hydrogen storage, and industrially-practical catalysis MOFs for energy conversion and storage, water purification and harvesting, and targeted delivery of biologically-relevant molecules Contributions from a multidisciplinary, international consortium of widely-respected reticular chemists