Content to Implement

[physics-archive]

For anyone who comes across this repo: feel free to provide problems or topics that could be implemented. Proofs, research, anything.

This board will store notes for myself regarding future implementation.

[physics-archive]

Dirichlet function:
f(x)=1 for x in Q (rational field)
f(x)=0 for x not in Q

Matlab code to represent this function numerically. Good topic for computers not being able to represent irrational numbers.

[physics-archive]

• [ø] - Implemented on reals1.html.

[physics-archive]

Need to dedicate a page to vectorizing Newton's formulation.

Probably will not use this in Schrödinger position (QM 0) to avoid confusion.

Reason: vector notation for QM means something different than direction in 3D-space, since psi is not a) not observable, and b) not in R^3. I recall vaguely that vector elements for psi correspond to different quantum states, and therefore are of infinite-dimensional in cases where energy has no upper bound. I.e. infinite square well or quantum harmonic oscillator. This played an important role in QM1.

[physics-archive]

Include a section about waves in the first dimensional analysis page. Easy way of understanding characteristics like v=lf

[physics-archive]

Coupled oscillators generalized to N coordinate systems. Needs NxN matrix for frequencies?