Computing joint confidence intervals
Assume you have two data sets from two independent runs. In each run you have an evaluation group to be compared against the baseline. …
Time dependent spin-spin coupling
Derivation of Thomas-Reiche-Kuhn sum rules for position operator.
Adding two Weibull random numbers
Adding two Weibull numbers.
Computing hydrogen ground state wavefunction on a sunny day
Computing hydrogen wave function with little information to remember.
Thomas-Reiche-Kuhn sum rules
Derivation of Thomas-Reiche-Kuhn sum rules for position operator.
Filter Matching
Checking if a number contains a certain pattern.
One-dimensional attractive potential of any shape supports a bound state
We use the variational principle to prove that one-dimensional attractive potential of any shape supports a bound state.
Electron Hydrogen scattering
We use the Born approximation to compute the differential cross section for the elastic scattering of a fast electron by a hydrogen …
\(2-\)D Quantum Oscillator
Some fun with two dimensional harmonic oscillator with perturbation
\(L^2\) is a Hermitian operator
A proof that square of the angular momentum vector is a Hermitian operator.
