苏汝铿高等量子力学讲义(英文版)Chapter 1 Foundation of Quantum Mechanics【荐】【荐】.ppt

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苏汝铿高等量子力学讲义(英文版)Chapter 1 Foundation of Quantum Mechanics【荐】【荐】.ppt

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Quantum Mechenics II Ru-Keng Su 2005.1.5 Chapter 1Foundation of Quantum Mechanics §1.1 State vector, wave function and superposition of states This chapter evolves from an attempt of a brief review over the basic ideas and formulae in undergraduate-level quantum mechanics. The details of this chapter can be found in the usual references of quantum mechanics §1.1 State vector, wave function and superposition of states §1.1 State vector, wave function and superposition of states §1.1 State vector, wave function and superposition of states §1.2 Schr?dinger equation and its solutions §1.2 Schr?dinger equation and its solutions §1.2 Schr?dinger equation and its solutions 1D Schr?dinger equation Infinite potential well §1.2 Schr?dinger equation and its solutions Infinite potential well §1.2 Schr?dinger equation and its solutions Harmonic oscillator §1.2 Schr?dinger equation and its solutions Harmonic oscillator §1.2 Schr?dinger equation and its solutions Harmonic oscillator §1.2 Schr?dinger equation and its solutions Harmonic oscillator §1.2 Schr?dinger equation and its solutions Harmonic oscillator §1.2 Schr?dinger equation and its solutions 3D Schrodinger equation Central potential §1.2 Schr?dinger equation and its solutions Central potential §1.2 Schr?dinger equation and its solutions Coulomb potential §1.2 Schr?dinger equation and its solutions Coulomb potential §1.3 Operators According to the Born statistical interpretation, The probability of finding a particle at position r is just the square of its wave function §1.3 Operators §1.3 Operators §1.3 Operators §1.3 Operators pi?-ih/2π▽i Cartesian rectangular coordinates 1st convention: pure coordinate part pure momentum part 2nd convention: mixed part §1.3 Operators §1.3 Operators Commutator §1.3 Operators Commutator §1.3 Operators Commutator §1.3 Operators Hermitian operator §1.3 Operators Eigenequation §1.3 Operators O - representation §1.3 Operators O - representation §1.4 Approximation method Perturbatio