| Description |
1 online resource (364 pages) |
| Contents |
Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 The wave function -- 1.1 Wave motion -- Plane wave -- Composite wave -- Addition of two plane waves -- 1.2 Wave packet -- Gaussian wave number distribution -- Square pulse wave number distribution -- Uncertainty relation -- 1.3 Dispersion of a wave packet -- Gaussian wave packet -- 1.4 Particles and waves -- 1.5 Heisenberg uncertainty principle -- 1.6 Young's double-slit experiment -- 1.7 Stern-Gerlach experiment -- 1.8 Physical interpretation of the wave function -- Problems -- 2 Schrödinger wave mechanics |
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2.1 The Schrödinger equation -- 2.2 The wave function -- Interpretation -- Normalization -- Momentum-space wave function -- 2.3 Expectation values of dynamical quantities -- Ehrenfest's theorems -- Heisenberg uncertainty principle -- 2.4 Time-independent Schrödinger equation -- 2.5 Particle in a one-dimensional box -- 2.6 Tunneling -- 2.7 Particles in three dimensions -- Multi-particle system -- 2.8 Particle in a three-dimensional box -- Degeneracy of energy levels -- Problems -- 3 General principles of quantum theory -- 3.1 Linear operators -- 3.2 Eigenfunctions and eigenvalues |
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Scalar product and orthogonality -- 3.3 Hermitian operators -- Eigenvalues -- Orthogonality theorem -- Extended orthogonality theorem -- 3.4 Eigenfunction expansions -- Completeness -- 3.5 Simultaneous eigenfunctions -- 3.6 Hilbert space and Dirac notation -- Bra vectors -- Projection operator -- 3.7 Postulates of quantum mechanics -- State function -- Physical quantities or observables -- Measurement of observable properties -- Collapse of the state function -- Time evolution of the state function -- 3.8 Parity operator -- 3.9 Hellmann-Feynman theorem |
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3.10 Time dependence of the expectation value -- 3.11 Heisenberg uncertainty principle -- Position-momentum uncertainty principle -- Minimum uncertainty wave packet -- Energy-time uncertainty principle -- Problems -- 4 Harmonic oscillator -- 4.1 Classical treatment -- 4.2 Quantum treatment -- Ladder operators -- Quantization of the energy -- Non-degeneracy of the energy levels -- 4.3 Eigenfunctions -- Lowering and raising operations -- Excited-state eigenfunctions -- Eigenfunctions in terms of Hermite polynomials -- Physical interpretation -- 4.4 Matrix elements |
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4.5 Heisenberg uncertainty relation -- 4.6 Three-dimensional harmonic oscillator -- Problems -- 5 Angular momentum -- 5.1 Orbital angular momentum -- Commutation relations -- 5.2 Generalized angular momentum -- Ladder operators -- Determination of the eigenvalues -- 5.3 Application to orbital angular momentum -- Ladder operators -- Normalization of -- Spherical harmonics -- Relationship of spherical harmonics to associated Legendre polynomials -- 5.4 The rigid rotor -- 5.5 Magnetic moment -- Interaction with a magnetic field -- Problems -- 6 The hydrogen atom -- 6.1 Two-particle problem |
| Summary |
This text describes the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are used throughout. This text is appropriate for graduate students in chemistry, chemical physics, molecular physics and materials science |
| Notes |
Print version record |
| Subject |
Quantum chemistry.
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Women authors, Swiss.
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Quantum chemistry
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Women authors, Swiss
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| Form |
Electronic book
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| ISBN |
9780511052248 |
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0511052243 |
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0511149050 |
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9780511149054 |
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9780511813542 |
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0511813546 |
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