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Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Saller, Heinrich |
Operational Symmetries |
I10249 |
2017 |
eBook |
|
| 2 |
Saller, Heinrich |
Operational Quantum Theory I |
I06761 |
2006 |
eBook |
|
| 3 |
Saller, Heinrich |
Operational Quantum Theory II |
I06760 |
2006 |
eBook |
|
| 4 |
Saller, Heinrich |
Operational Spacetime |
I05659 |
2010 |
eBook |
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1.
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| Title | Operational Symmetries : Basic Operations in Physics |
| Author(s) | Saller, Heinrich |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XI, 574 p : online resource |
| Abstract Note | This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato???s and Kepler???s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations. |
| ISBN,Price | 9783319586649 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. EBOOK
3. EBOOK - SPRINGER
4. GRAVITATION
5. LIE GROUPS
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. QUANTUM PHYSICS
10. TOPOLOGICAL GROUPS
11. Topological Groups, Lie Groups
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10249 |
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On Shelf |
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2.
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| Title | Operational Quantum Theory I : Nonrelativistic Structures |
| Author(s) | Saller, Heinrich |
| Publication | New York, NY, Springer New York, 2006. |
| Description | XIV, 408 p : online resource |
| Abstract Note | Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject. Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics |
| ISBN,Price | 9780387346434 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. LIE GROUPS
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. QUANTUM PHYSICS
8. Theoretical, Mathematical and Computational Physics
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06761 |
|
|
On Shelf |
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3.
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| Title | Operational Quantum Theory II : Relativistic Structures |
| Author(s) | Saller, Heinrich |
| Publication | New York, NY, Springer New York, 2006. |
| Description | XII, 333 p : online resource |
| Abstract Note | Operational Quantum Theory II is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of the objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically relativistic quantum field theory is developed the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. This book deals with the operational concepts of relativistic space time, the Lorentz and Poincar?? group operations and their unitary representations, particularly the elementary articles. Also discussed are eigenvalues and invariants for non-compact operations in general as well as the harmonic analysis of noncompact nonabelian Lie groups and their homogeneous spaces. In addition to the operational formulation of the standard model of particle interactions, an attempt is made to understand the particle spectrum with the masses and coupling constants as the invariants and normalizations of a tangent representation structure of a an homogeneous space time model. Operational Quantum Theory II aims to understand more deeply on an operational basis what one is working with in relativistic quantum field theory, but also suggests new solutions to previously unsolved problems |
| ISBN,Price | 9780387346441 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. LIE GROUPS
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. QUANTUM PHYSICS
8. Theoretical, Mathematical and Computational Physics
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06760 |
|
|
On Shelf |
|
|
|
|
|
4.
| |
| Title | Operational Spacetime : Interactions and Particles |
| Author(s) | Saller, Heinrich |
| Publication | New York, NY, Springer New York, 2010. |
| Description | X, 344 p : online resource |
| Abstract Note | Operational Spacetime: Interactions and Particles provides readers with a basic understanding of the mutual conditioning of spacetime and interactions and matter. The spacetime manifold will be looked at to be a reservoir for the parametrization of operation Lie groups or subgroup classes of Lie groups. With basic operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations. Physical properties are related eigenvalues or invariants. As an explicit example, an operational spacetime is proposed, called electroweak spacetime, parametrizing the classes of the internal hypercharge-isospin group in the general linear group in two complex dimensions, i.e., the Lorentz cover group, extended by the causal (dilation) and phase group. Its representations and invariants will be investigated with the aim to connect them, qualitatively and numerically, with the properties of interactions and particles as arising in the representations of its tangent Minkowski spaces. Heinrich Saller is the author of Operational Quantum Theory I: Nonrelativistic Structures (Springer, 2006) and Operational Quantum Theory II: Relativistic Structures (Springer, 2006) |
| ISBN,Price | 9781441908988 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. EBOOK
3. EBOOK - SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. GRAVITATION
7. Mathematical Methods in Physics
8. MATHEMATICAL PHYSICS
9. PHYSICS
10. QUANTUM FIELD THEORY
11. QUANTUM PHYSICS
12. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05659 |
|
|
On Shelf |
|
|
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| |