Problem 49E

Quantum Mechanics and Atomic Orbitals (Sections)

(a) Why does the Bohr model of the hydrogen atom violate the uncertainty principle?

(b) In what way is the description of the electron using a wave function consistent with de Broglie’s hypothesis?

(c) What is meant by the term probability density? Given the wave function, how do we find the probability density at a certain point in space?

ELEG 310 – 2/9/2016 Lecture 1: Introduction to Probability Two Types of Models Deterministic Stochastic -For example, circuit theory. -You are given values, and -Used when part of system is somehow unpredictable calculate the outputs -for example: NOISE -Some inputs produce the -Quantifies uncertainty same outputs -But inevitably, this model is not exact; it neglects certain factors -Example: Ohm’s laws, V=IR So I =V/R What is Probability Take, for example, the idea of bal