This page covers various applications of the variational method and perturbation theory in quantum mechanics. It explores trial wavefunctions for harmonic and anharmonic oscillators, including calcula...This page covers various applications of the variational method and perturbation theory in quantum mechanics. It explores trial wavefunctions for harmonic and anharmonic oscillators, including calculations of ground state energies and properties using Hamiltonian operators and integrals. The text details the evaluation of determinants and the conceptual framework for particle systems.
This page presents calculations of reduced mass and harmonic oscillator properties for diatomic molecules, including methods for determining vibrational frequency and zero-point energy. It encompasses...This page presents calculations of reduced mass and harmonic oscillator properties for diatomic molecules, including methods for determining vibrational frequency and zero-point energy. It encompasses quantum mechanics concepts like angular momentum for hydrogen-like atoms, provides insights on using angular momentum operators, and details Rydberg constant calculations for various isotopes.