Position and Momentum Operators in Quantum Mechanics

Modern Physics Series
quantum mechanics requires advanced mathematics
quantum mechanics is math
relevant concepts in linear algebra and differential equations are covered in my mathematics series
together we will derive the equations of quantum mechanics
1 Visit my mathematics playlist, scroll down until the topics seem unfamiliar, and watch from that point through to the end of the list.
Classical Physics Series
Where is the particle located? Where will it be some specific time from now?
we can use this to predict the precise position and velocity of this particle at any time given the initial conditions
this does not work for quantum particles
Heisenberg Uncertainty Principle
Wave-Particle Duality
classical particles are macroscopic objects
the wavefunction (psi of x)
examples of operators
in quantum mechanics position and momentum are operators
de Broglie principle
Properties of Operators
commutator of position and momentum
PROFESSOR DAVE EXPLAINS