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I don't have the math to understand this. If I wanted to, what should I seek out on Coursera or similar?

by mrestko 12y ago

ufo 12y ago
I haven't finished reading but it looks like its mostly linear algebra and matrix multiplication.
frozenport 12y ago
In reality you need to spend years thinking about these ideas before you can write down the equations on-demand. I would start with Lagrangian mechanics.
Energy1 12y ago
Linear Algebra -> Real Analysis -> Functional Analysis. Linear Algebra and Analysis can be either applied or pure and of many different levels of sophistication.
dkarapetyan 12y ago
This course https://www.edx.org/course/uc-berkeleyx/uc-berkeleyx-cs-191x-quantum-mechanics-1033 https://www.edx.org/course/uc-berkeleyx/uc-berkeleyx-cs-191x... is a really good introduction in my opinion. It starts with the qubit and works its way up to quantum fourier transform. That sounds a little scary but the course is really well done and you just need some basic understanding of matrices like how to multiply them to get started.
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.

I don't have the math to understand this. If I wanted to, what should I seek out on Coursera or similar?

by mrestko 12y ago

I don't have the math to understand this. If I wanted to, what should I seek out on Coursera or similar?

ufo 12y ago

I haven't finished reading but it looks like its mostly linear algebra and matrix multiplication.

frozenport 12y ago

In reality you need to spend years thinking about these ideas before you can write down the equations on-demand. I would start with Lagrangian mechanics.

Energy1 12y ago

Linear Algebra -> Real Analysis -> Functional Analysis. Linear Algebra and Analysis can be either applied or pure and of many different levels of sophistication.

dkarapetyan 12y ago

This course https://www.edx.org/course/uc-berkeleyx/uc-berkeleyx-cs-191x-quantum-mechanics-1033 https://www.edx.org/course/uc-berkeleyx/uc-berkeleyx-cs-191x... is a really good introduction in my opinion. It starts with the qubit and works its way up to quantum fourier transform. That sounds a little scary but the course is really well done and you just need some basic understanding of matrices like how to multiply them to get started.

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.