Quantum Physics
portes grátis
Quantum Physics
States, Observables and Their Time Evolution
Bohm, Arno; Kielanowski, Piotr; Mainland, G. Bruce
Springer
11/2019
344
Dura
Inglês
9789402417586
Pré-lançamento - envio 15 a 20 dias após a sua edição
Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules.
Preface.- Quantum harmonic oscillator.- The Gate to Quantum Mechanics.- Energies and transition matrix elements.- Pure states and mixtures.- Fundamental postulates of quantum mechanics.- Radiative transitions.- Summary.- Problems.- Angular Momentum.- Introduction.- Introduction to Angular Momentum.- Angular Momentum: Algebraic Solutions.- Observables of the Rotating Diatomic Molecule.- Angular Momentum States and Calculation of Probabilities.- Relationship Between SU(2) and SO(3).- Summary.- Problems.- Combinations of Quantum Physical Systems.- Introduction.- Separation of a Hamiltonian.- Combination of Quantum Physical Systems.- The Vibrating Rotator.- Addition of Two Angular Momenta: Clebsch-Gordan Coefficients.- Tensor Operators and the Wigner-Eckart Theorem.- Summary.- Problems.- Stationary Perturbation Theory.- Underlying Assumptions.- Stationary Perturbation Expansion.- Degenerate, Stationary Perturbation Expansion.- Summary.- Problems.- Time Evolution of Quantum Systems.- Time Evolution.- Time Evolution of States, Observables and Probabilities.- Time Evolution in Standard Quantum Mechanics.- Time-Dependent Hamiltonian.- Precession of a Spinning Particle in a Magnetic Field: The Interpretation of the Schroedinger and Heisenberg Pictures.- Magnetic Resonance.- Gibbs Distribution.- Problems.- A Mathematical Preliminaries.- A.1 Introduction.- A.2 Linear, Scalar-Product Spaces.- A.3 Linear Operators.- A.4 Basis Systems and Eigenvector Decompositions.- A.5 Realizations by Matrices and Functions.- A.6 Summary.- Problems.- Index.
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Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules.
Preface.- Quantum harmonic oscillator.- The Gate to Quantum Mechanics.- Energies and transition matrix elements.- Pure states and mixtures.- Fundamental postulates of quantum mechanics.- Radiative transitions.- Summary.- Problems.- Angular Momentum.- Introduction.- Introduction to Angular Momentum.- Angular Momentum: Algebraic Solutions.- Observables of the Rotating Diatomic Molecule.- Angular Momentum States and Calculation of Probabilities.- Relationship Between SU(2) and SO(3).- Summary.- Problems.- Combinations of Quantum Physical Systems.- Introduction.- Separation of a Hamiltonian.- Combination of Quantum Physical Systems.- The Vibrating Rotator.- Addition of Two Angular Momenta: Clebsch-Gordan Coefficients.- Tensor Operators and the Wigner-Eckart Theorem.- Summary.- Problems.- Stationary Perturbation Theory.- Underlying Assumptions.- Stationary Perturbation Expansion.- Degenerate, Stationary Perturbation Expansion.- Summary.- Problems.- Time Evolution of Quantum Systems.- Time Evolution.- Time Evolution of States, Observables and Probabilities.- Time Evolution in Standard Quantum Mechanics.- Time-Dependent Hamiltonian.- Precession of a Spinning Particle in a Magnetic Field: The Interpretation of the Schroedinger and Heisenberg Pictures.- Magnetic Resonance.- Gibbs Distribution.- Problems.- A Mathematical Preliminaries.- A.1 Introduction.- A.2 Linear, Scalar-Product Spaces.- A.3 Linear Operators.- A.4 Basis Systems and Eigenvector Decompositions.- A.5 Realizations by Matrices and Functions.- A.6 Summary.- Problems.- Index.
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