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1 Santilli, Ruggero Maria Isodual Theory of Antimatter I05600 2006 eBook  
2 Santilli, Ruggero Maria Foundations of Theoretical Mechanics I I04305 1978 eBook  
3 Santilli, Ruggero Maria Foundations of Theoretical Mechanics II I04010 1983 eBook  
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TitleIsodual Theory of Antimatter : with applications to Antigravity, Grand Unification and Cosmology
Author(s)Santilli, Ruggero Maria
PublicationDordrecht, Springer Netherlands, 2006.
DescriptionXVI, 329 p : online resource
Abstract NoteAntimatter, already conjectured by A. Schuster in 1898, was actually predicted by P.A.M. Dirac in the late 19-twenties in the negative-energy solutions of the Dirac equation. Its existence was subsequently confirmed via the Wilson chamber and became an established part of theoretical physics. Dirac soon discovered that particles with negative energy do not behave in a physically conventional manner, and he therefore developed his "hole theory". This restricted the study of antimatter to the sole level of second quantization. As a result antimatter created a scientific imbalance, because matter was treated at all levels of study, while antimatter was treated only at the level of second quantization. In search of a new mathematics for the resolution of this imbalance the author conceived what we know today as Santilli???s isodual mathematics, which permitted the construction of isodual classical mechanics, isodual quantization and isodual quantum mechanics. The scope of this monograph is to show that our classical, quantum and cosmological knowledge of antimatter is at its beginning with much yet to be discovered, and that a commitment to antimatter by experimentalists will be invaluable to antimatter science
ISBN,Price9781402045189
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. Heavy ions 9. MATHEMATICAL PHYSICS 10. NUCLEAR PHYSICS 11. Nuclear Physics, Heavy Ions, Hadrons 12. QUANTUM FIELD THEORY 13. QUANTUM PHYSICS 14. Theoretical, Mathematical and Computational Physics
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TitleFoundations of Theoretical Mechanics I : The Inverse Problem in Newtonian Mechanics
Author(s)Santilli, Ruggero Maria
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1978.
DescriptionXX, 268 p : online resource
Abstract NoteThe objective of this monograph is to present some methodological foundations of theoretical mechanics that are recommendable to graduate students prior to, or jointly with, the study of more advanced topics such as statistical mechanics, thermodynamics, and elementary particle physics. A program of this nature is inevitably centered on the methodological foundations for Newtonian systems, with particular reference to the central equations of our theories, that is, Lagrange's and Hamilton's equations. This program, realized through a study of the analytic representations in terms of Lagrange's and Hamilton's equations of generally nonconservative Newtonian systems (namely, systems with Newtonian forces not necessarily derivable from a potential function), falls within the context of the so-called Inverse Problem, and consists of three major aspects: I. The study of the necessary and sufficient conditions for the existence of a Lagrangian or Hamiltonian representation of given equations of motion with arbitrary forces; 1. The identification of the methods for the construction of a Lagrangian or Hamiltonian from the given equations of motion; and 3. The analysis of the significance of the underlying methodology for other aspects of Newtonian Mechanics, e. g. , transformation theory, symmetries, and first integrals for nonconservative Newtonian systems. This first volume is devoted to the foundations of the Inverse Problem, with particular reference to aspects I and 2
ISBN,Price9783642867576
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. MECHANICS 5. QUANTUM COMPUTERS 6. Quantum Information Technology, Spintronics 7. QUANTUM PHYSICS 8. SPINTRONICS
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TitleFoundations of Theoretical Mechanics II : Birkhoffian Generalizations of Hamiltonian Mechanics
Author(s)Santilli, Ruggero Maria
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1983.
DescriptionXX, 372 p : online resource
Abstract NoteIn the preceding volume,l I identified necessary and sufficient conditions for the existence of a representation of given Newtonian systems via a variational principle, the so-called conditions of variational self-adjointness. A primary objective of this volume is to establish that all Newtonian systems satisfying certain locality, regularity, and smoothness conditions, whether conservative or nonconservative, can be treated via conventional variational principles, Lie algebra techniques, and symplectic geometrical formulations. This volume therefore resolves a controversy on the repre?? sentational capabilities of conventional variational principles that has been 2 lingering in the literature for over a century, as reported in Chart 1. 3. 1. The primary results of this volume are the following. In Chapter 4,3 I prove a Theorem of Direct Universality of the Inverse Problem. It establishes the existence, via a variational principle, of a representation for all Newtonian systems of the class admitted (universality) in the coordinates and time variables of the experimenter (direct universality). The underlying analytic equations turn out to be a generalization of conventional Hamilton equations (those without external terms) which: (a) admit the most general possible action functional for first-order systems; (b) possess a Lie algebra structure in the most general possible, regular realization of the product; and (c) 1 Santilli (1978a). As was the case for Volume I, the references are listed at the end of this volume, first in chronological order and then in alphabetic order
ISBN,Price9783642867606
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. QUANTUM COMPUTERS 4. Quantum Information Technology, Spintronics 5. QUANTUM PHYSICS 6. SPINTRONICS
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