Postulates of Quantum Mechanics: Orthonormality & Basis Sets

The video tutorial covers the concept of orthonormality and basis sets, focusing on wave functions and their properties. It explains how wave functions can be orthogonal and how linear combinations of these functions form a total wave function. The tutorial uses a hypothetical example of a person's life stages to illustrate different states and their contributions. It also discusses resonance in molecules, showing how different states contribute to the overall structure. The video concludes with a method to calculate the probability of a molecule being in a specific state.

What is the role of eigenvalues in determining the contribution of different states to a total wave function?

How does the concept of resonance in organic chemistry relate to the idea of basis sets in quantum mechanics?

What method can be used to calculate the percent contribution of a specific state to the overall hybrid structure?