Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics (Theoretical and Mathematical Physics)

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9783642822742: Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics (Theoretical and Mathematical Physics)

The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda­ mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop­ erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon­ ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide­ ly accepted that the same field theory may be based on different vacua. Practical­ ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex­ ception and this is the change of the ground state (vacuum) of the electron-posi­ tron field in superstrong electric fields.

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Walter Greiner, B. Müller, J. Rafelski
Published by Springer Berlin Heidelberg 2011-12-22, Berlin (2011)
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Book Description Book Condition: New. Publisher/Verlag: Springer, Berlin | With an Introduction into Modern Relativistic Quantum Mechanics | The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields. | 1. Introduction.- 1.1 The Charged Vacuum.- 1.2 From Theory to Experimental Verification.- 1.2.1 Superheavy Quasimolecules.- 1.2.2 Nuclear Sticking.- 1.2.3 K-Shell Ionization.- 1.3 Theoretical Developments.- 1.4 Historical Annotations on the Vacuum.- 1.4.1 The Concept of Vacuum.- 1.4.2 The Vacuum in Strong Fields.- 1.5 The Vacuum in Modern Quantum Physics.- 1.5.1 Pion Condensation.- 1.5.2 Strong Gravitational Fields.- 1.5.3 Vacuum Structure of Strongly Interacting Fermions and Bosons.- Bibliographical Notes.- 2. The Wave Equation for Spin-1/2 Particles.- 2.1 The Dirac Equation.- 2.2 The Free Dirac Particle.- 2.3 Single-Particle Interpretation of Plane (Free) Dirac Waves.- 2.4 The Dirac Particle Coupled to Electromagnetic Fields - Non-Relativistic Limits and Spin of the Dirac Equation.- 2.5 Lorentz Covariance of the Dirac Equation.- 2.5.1 Formulation of Covariance (Form Invariance).- 2.5.2 Determining the ?(â) Operator for Infinitesimal Lorentz Transformations.- 2.5.3 The ?(â) Operator for Finite Lorentz Transformations.- 2.5.4 Finite, Proper Lorentz Transformations.- 2.5.5 The ? Operator for Finite Lorentz Transformations.- 2.5.6 The Four-Current Density.- 2.6 Spinor Under Space Inversion (Parity Transformation).- 2.7 Bilinear Covariants of Dirac Spinors.- 2.8 Gauge Invariant Coupling of Electromagnetic and Spinor Field.- Bibliographical Notes.- 3. Dirac Particles in External Potentials.- 3.1 A Dirac Particle in a One-Dimensional Square Well Potential.- 3.2 A Dirac Particle in a Scalar, One-Dimensional Square Well Potential.- 3.3 A Dirac Particle in a Spherical Well.- 3.4 Solutions of the Dirac Equation for a Coulomb and a Scalar 1/r Potential.- 3.4.1 Pure Scalar Potential.- 3.4.2 Pure Coulomb Potential.- 3.4.3 Coulomb and Scalar Potential of Equal Strength (?? = ??).- 3.5 Stationary Continuum Waves for a Dirac Particle in a Coulomb Potential.- Bibliographical Notes.- 4. The Hole Theory.- 4.1 The "Dirac Sea".- 4.1.1 Historical Context.- 4.2 Charge Conjugation Symmetry.- 4.3 Charge Conjugation of States in External Potential.- 4.3.1 Historical Note.- 4.4 Parity and Time-Reversal Symmetry.- 4.4.1 Parity Invariance.- 4.4.2 Time-Reversal Symmetry.- Bibliographical Notes.- 5. The Klein Paradox.- 5.1 The Klein Paradox in the Single-Particle Interpretation of the Dirac Equation.- 5.2 Klein's Paradox and Hole Theory.- Bibliographical Notes.- 6. Resonant States in Supercritical Fields.- 6.1 Resonances in the Negative Energy Continuum.- 6.2 One Bound Stat. Bookseller Inventory # K9783642822742

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Book Description Springer Berlin Heidelberg Dez 2011, 2011. Taschenbuch. Book Condition: Neu. Neuware - The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields. 612 pp. Englisch. Bookseller Inventory # 9783642822742

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Book Description Springer Berlin Heidelberg Dez 2011, 2011. Taschenbuch. Book Condition: Neu. Neuware - The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields. 612 pp. Englisch. Bookseller Inventory # 9783642822742

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Book Description Springer Berlin Heidelberg Dez 2011, 2011. Taschenbuch. Book Condition: Neu. This item is printed on demand - Print on Demand Neuware - The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields. 612 pp. Englisch. Bookseller Inventory # 9783642822742

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Walter Greiner; B. Müller; Johann Rafelski
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