Quantum Mechanics

Silviu Guiasu

Contents: The General Model; Introduction; The mathematical model; A free particle in a one-dimensional box; A free particle in a three-dimensional box; Two non-interacting free particles in a one-dimensional box; The harmonic oscillator; The hydrogen atom; The ground state of the helium atom; The ground state of the lithium atom; Conclusion; Entropy as a measure of uncertainty; Maximum entropy principle; The uniqueness of entropy; The variational theorem and the least weighted deviation; A series representation of 1/r12; Computer program 1; Computer program 2; Computer program 3; Computer program 4; The Linear Approximation; Introduction; The mathematical formalism; Probability wave functions; Probabilistic models for the atom structure; Examples; Computer programs; Conclusion; References.