Anonymous at Sun, 26 May 2024 02:04:38 UTC No. 16193460

>>16193451
>hermitian

Anonymous at Sun, 26 May 2024 02:10:44 UTC No. 16193464

>>16193451
there's no getting around the fact that a lot of interesting conclusions about QM require an appreciation of the math.

the important thing about hermitian operators is that they are linear transformation with all real eigenvalues.
hermitian operators represent measurements on quantum state vectors. the eigenvalues are the value you measure, and the eigenvectors are the associated pure quantum states w.r.t. the operator.

Anonymous at Sun, 26 May 2024 02:11:50 UTC No. 16193465

>>16193451
A Hermitian MATRIX where H = (H^T)* is the complex version of a symmetric matrix S = S^T, where the * is a complex conjugate.
Normal dot products between vectors x and y are represented as (x,y) = x_1 y_1+x_2 y_2+..., whereas in QM, the "dot product" (let's call it inner product) is more like <x,y> = (x_1*)y_1 + (x_2)^*y_2...

With Hermitian matrices and QM inner products in mind, notice that <Hx,y> = <x,Hy>. This leads to important stuff. Im watching a movie rn, i might type more later

Anonymous at Sun, 26 May 2024 02:17:37 UTC No. 16193476

>>16193465
>t. finite-dimensionlet

Anonymous at Sun, 26 May 2024 02:20:25 UTC No. 16193477

>>16193451
A Hermitian operator is like a special kind of matrix that is equal to its own conjugate transpose.
Hermitian operators have real eigenvalues and orthogonal eigenvectors.
In quantum physics, observables are represented by Hermitian operators, ensuring that measured values are real and meaningful.

Anonymous at Sun, 26 May 2024 03:49:15 UTC No. 16193551

>omg, my brain, it feels so big!!!
>its full of so much schizo kike jargon and fancy basedence polysyllables
>oh no
>i can't hold it in any longer
>i'm…
>i'm gonna…
>i'm gonna QUANTUUUUUUUUMMMMMM!!!!!!

Anonymous at Sun, 26 May 2024 05:50:28 UTC No. 16193632

>can /sci/ explain _____?
>*gets informative and complete answers*
>HAHA! JOKE'S ON YOU! I DIDN'T ACTUALLY WANT TO KNOW, I JUST WANTED TO PROVE WHAT BIG NERDS YOU GUYS ARE! NEEEEERDS!
it's all so tiresome