Show up when solving the Laplace's equation on spherical coordinates by separation of variables, which leads to the differential equation shown at: en.wikipedia.org/w/index.php?title=Legendre_polynomials&oldid=1018881414#Definition_via_differential_equation.
A function defined by the second of the Josephson equations plus initial conditions.
It represents an internal state of the junction.
Dan, if you ever Google yourself here, please contact Ciro Santilli: Section "How to contact Ciro Santilli" to do something with OurBigBook.com. Cheers.
One of the main reasons why physicists are obsessed by this topic is that position and momentum are mapped to the phase space coordinates of Hamiltonian mechanics, which appear in the matrix mechanics formulation of quantum mechanics, which offers insight into the theory, particularly when generalizing to relativistic quantum mechanics.
One way to think is: what is the definition of space space? It is a way to write the wave function such that:And then, what is the definition of momentum space? It is of course a way to write the wave function such that:
- the position operator is the multiplication by
- the momentum operator is the derivative by
- the momentum operator is the multiplication by
physics.stackexchange.com/questions/39442/intuitive-explanation-of-why-momentum-is-the-fourier-transform-variable-of-posit/39508#39508 gives the best idea intuitive idea: the Fourier transform writes a function as a (continuous) sum of plane waves, and each plane wave has a fixed momentum.
Bibliography:
Diffeomorphic to the 3 sphere.
Allows you to connect two adjacent pins of a pin header. Sometimes used as a hardware configuration interface!
Ciro Santilli was contributing to this, when CommonMark left private mode and killed it, thus wasting many hours of Ciro's time.
See also: Ciro Santilli's minor projects.
Appears directly on Schrödinger equation! And in particular in the time-independent Schrödinger equation.
The Khômiss was a Binet that had 12 undisclosed participants every year.
They intentionally projected the idea of a semi scary and cool secret society/cult/Fascist/Gestapo/non-racist Ku Klux Klan-like organization
Khômiss members would wear a face cover whenever they would go out "on duty", notably to break a student's door with a fire axe when some student had fucked up particularly bad.
The Khômiss had an ambivalent character: while on one hand they would punish students that they felt had fucked up, they were actually semi approved by the school's head.
And conversely, they could also play pranks on the school head, e.g. vandalizing their office with funny objects if they had made some decision that was particularly unpopular to the students. This also likely with tacit approval, and as a way to be a "cool independent organization that also represents the students".
As such, the Khômiss aimed to be a sort of a "conscience" of the cohort, punishing the evil deeds of either side.
They were apparently unfortunately disbanded by the school in 2013 it seems, just after Ciro Santilli left. They took some poor student out by car and left him more than 1km outsie of the school for some reason. But he had a cell phone and walked came back, so doesn't feel that serious. Likely the political correctness of the times just caught up with them.
Bibliography:
- fr.wikipedia.org/wiki/Traditions_de_l%27École_polytechnique#La_Khômiss
- 2013 www.leparisien.fr/archives/la-mauvaise-blague-de-trop-a-polytechnique-02-07-2013-2945871.php news about the dissolution of the Khômiss.
- 2012 www.lajauneetlarouge.com/la-khomiss-deux-cents-ans-et-resolument-moderne/ A profile of the Khômiss by the student magazine "La Jeune et la Rouge"
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