4 ms·
Here's a quick list off the top of my head. On the left is a Quantum Mechanics concept, on the right is the math concept its related to. * The Schrodinger Equa
by mef51 12y ago
Here's a quick list off the top of my head. On the left is a Quantum Mechanics concept, on the right is the math concept its related to.
* The Schrodinger Equation --> Differential Equations. Wave equation.
* Wavefunctions and Normalisation --> Probability Density. Differential Equations and Function continuity
* Bohr Model --> Algebra
* Bracket Notation --> Matrices, vectors, vector spaces, linear independence
* Operators --> Transformations, matrices, unitary matrices
* Commutators --> see operators! maybe a little algebraic field theory for motivation on why AB - BA is not necessarily 0.
* Eigenstates --> these are special wavefunctions. Eigenvalues and Eigenvectors
I recommend Paul Dirac's original Principles of Quantum Mechanics for a baptism by fire. He's the primary source for a lot of this stuff. He simplified a lot of the methods in QM with his Bracket notation.
Sorry if I missed something.