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Quantum mechanics. Quantumfield theory --- Wave equation --- Wave mechanics --- Théorie quantique des champs --- Equation d'onde --- Mécanique ondulatoire --- Klein-Gordon equation. --- Dirac equation. --- Relativistic quantum theory. --- 530.145.6 --- -Dirac equation --- Klein-Gordon equation --- Relativistic quantum theory --- Relativistic quantum mechanics --- Schrödinger-Klein-Gordon equation --- Wave mechanics. Corpuscular waves. Matrices --- 530.145.6 Wave mechanics. Corpuscular waves. Matrices --- Mécanique ondulatoire --- Mathematical physics --- #KVIV:BB --- #WSCH:AAS2 --- Quantum theory --- Special relativity (Physics) --- Quantum field theory --- Differential equations, Partial --- Physical mathematics --- Physics --- Problems, exercises, etc --- Mathematics --- Problems, exercises, etc. --- Particles (Nuclear physics) --- Physique mathématique --- Particules (Physique nucléaire) --- Théorie quantique des champs --- Dirac equation --- Mathematical physics - Problems, exercises, etc. --- Klein-gordon equation
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Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.
Klein-Gordon equation. --- Dirac equation. --- Relativistic quantum theory. --- 530.145.6 --- Mathematical physics --- -Dirac equation --- Klein-Gordon equation --- Relativistic quantum theory --- #KVIV:BB --- #WSCH:AAS2 --- #dd Sabbe Camiel cfx --- Relativistic quantum mechanics --- Schrödinger-Klein-Gordon equation --- Physical mathematics --- Physics --- 530.145.6 Wave mechanics. Corpuscular waves. Matrices --- Wave mechanics. Corpuscular waves. Matrices --- Problems, exercises, etc --- Mathematics --- Dirac equation --- Dirac, Equation de --- Klein-Gordon, Equation de --- Théorie quantique relativiste --- Quantum theory --- Special relativity (Physics) --- Quantum field theory --- Wave equation --- Differential equations, Partial --- Quantum physics. --- Quantum computers. --- Spintronics. --- Quantum Physics. --- Quantum Information Technology, Spintronics. --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Computer software --- Computer software. --- Development. --- Software, Computer --- Computer systems --- Development of computer software --- Software development
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This text provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models.
General relativity (Physics). --- Klein-Gordon equation. --- Mathematical physics. --- Quantum field theory. --- SCIENCE / Physics / Mathematical & Computational. --- Addition. --- Algebraic structure. --- Antiderivative. --- Approximation. --- Asymptote. --- Asymptotic analysis. --- Bending. --- Big O notation. --- Bootstrapping (statistics). --- Calculation. --- Cauchy distribution. --- Coefficient. --- Combination. --- Compact space. --- Complex number. --- Computation. --- Conserved quantity. --- Coordinate system. --- Coordinate-free. --- Covariant derivative. --- Derivative. --- Differential operator. --- Dispersion relation. --- Einstein field equations. --- Energy functional. --- Equation. --- Estimation. --- Exponential growth. --- Foliation. --- Fourier analysis. --- Fourier transform. --- Function (mathematics). --- Function space. --- General relativity. --- Geodesic. --- Geodesics in general relativity. --- Geographic coordinate system. --- Geometry. --- Global analysis. --- Globality. --- High frequency. --- Hyperboloid. --- Hypersurface. --- Hypothesis. --- Implementation. --- Ingredient. --- Integration by parts. --- Interpolation inequality. --- Klein–Gordon equation. --- Light cone. --- Local coordinates. --- Mathematical optimization. --- Metric tensor (general relativity). --- Metric tensor. --- Minkowski space. --- Momentum. --- Monograph. --- Monotonic function. --- Nonlinear system. --- Optics. --- Parametrization. --- Partial differential equation. --- Pointwise. --- Poisson bracket. --- Quantity. --- Remainder. --- Result. --- Riemann curvature tensor. --- Scalar field. --- Scattering. --- Schwarzschild metric. --- Scientific notation. --- Second fundamental form. --- Simultaneous equations. --- Small data. --- Small number. --- Sobolev space. --- Soliton. --- Space. --- Stability theory. --- Stress–energy tensor. --- Support (mathematics). --- Symmetrization. --- Theorem. --- Time derivative. --- Timelike Infinity. --- Trace (linear algebra). --- Two-dimensional space. --- Vacuum. --- Vector field. --- Very low frequency. --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Physical mathematics --- Physics --- Schrödinger-Klein-Gordon equation --- Quantum field theory --- Wave equation --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Mathematics --- General relativity (Physics) --- Science. --- Physics.
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