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Harmonic Oscillator and Vibrational Spectroscopy,well-behaving eigenfunction leads to the quantization of the harmonic oscillator energy. The solution and its properties are then used for a quantum mechanical description of vibrational states of a diatomic molecule that can be represented by a harmonic oscillator Hamiltonian with reduced mass. Inf吗啡 发表于 2025-3-22 15:54:31
Multidimensional Systems and Separation of Variables,in multidimensional space. As the simplest example, a quantum particle in a three dimensional box is considered. The corresponding eigenvalues and eigenfunctions are provided employing the separation of variables method. These solutions are used to illustrate the concept of degeneracy. Then, a moreSpinous-Process 发表于 2025-3-22 18:07:21
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Hydrogen-Like Systems and Spin Orbit States of an Electron,ogen atom or ions with a single electron. First, Bohr’s model is used for a simple derivation of energy levels. Then, the complete set of eigenfunctions and eigenvalues for the Hamiltonian as solutions of the time independent Schrödinger equation are provided. In particular, the equation for the rad大都市 发表于 2025-3-23 02:00:26
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