A quick look at PostgreSQL's compliance notes: www.postgresql.org/docs/13/features.html shows the complete utter mess that this standard is. Multiple compliance levels that no one fully implements and optional features everywhere.
Leads to the Dirac equation.
Solutions of the Schrodinger equation for two electrons by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
TODO. Can't find it easily. Anyone?
This is closely linked to the Pauli exclusion principle.
What does a particle even mean, right? Especially in quantum field theory, where two electrons are just vibrations of a single electron field.
Another issue is that if we consider magnetism, things only make sense if we add special relativity, since Maxwell's equations require special relativity, so a non approximate solution for this will necessarily require full quantum electrodynamics.
As mentioned at lecture 1 youtube.com/watch?video=H3AFzbrqH68&t=555, relativistic quantum mechanical theories like the Dirac equation and Klein-Gordon equation make no sense for a "single particle": they must imply that particles can pop in out of existence.
Bibliography:
- www.youtube.com/watch?v=Og13-bSF9kA&list=PLDfPUNusx1Eo60qx3Od2KLUL4b7VDPo9F "Advanced quantum theory" by Tobias J. Osborne says that the course will essentially cover multi-particle quantum mechanics!
- physics.stackexchange.com/questions/54854/equivalence-between-qft-and-many-particle-qm "Equivalence between QFT and many-particle QM"
- Course: Quantum Many-Body Physics in Condensed Matter by Luis Gregorio Dias (2020) from course: Quantum Many-Body Physics in Condensed Matter by Luis Gregorio Dias (2020) give a good introduction to non-interacting particles
Schrödinger equation solution for molecule by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
He was at Fairchild. That place was nuts.
Why it is hard to simulate quantum systems? by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
This is basically how quantum computing was first theorized by Richard Feynman: quantum computers as experiments that are hard to predict outcomes.
TODO answer that: quantumcomputing.stackexchange.com/questions/5005/why-it-is-hard-to-simulate-a-quantum-device-by-a-classical-devices. A good answer would be with a more physical example of quantum entanglement, e.g. on a photonic quantum computer.
She posed naked on horseback for Forbes to promote animal rights in 1997.
A ultra low resolution reproduction of the image can be found at: rohitnair.wordpress.com/2011/12/13/cisco-history-cisco-systems-history-and-trivia-brand-history-and-trivia/
She's kind of lying on top of the horse's back, and you can't see much, just some tastefully light erotica. It's not like she's fucking the horse or anything.
Journals must require source code and data sets to publish by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
It is understandable that you might not be able to reproduce a paper that does a natural science experiment, given that physics is brutal.
But for papers that have either source code or data sets, academic journals must require that those be made available, or refuse to publish.
Any document without such obvious reproducibility elements is a white paper, not a proper peer reviewed paper.
www.youtube.com/watch?v=WB8r7CU7clk&list=PLUl4u3cNGP60TvpbO5toEWC8y8w51dtvm by Iain Stewart. Basically starts by explaining how quantum field theory is so generic that it is hard to get any numerical results out of it :-)
But in particular, we want to describe those subtheories in a way that we can reach arbitrary precision of the full theory if desired.
Application of radiation pressure.
First live example: en.wikipedia.org/wiki/IKAROS
A quantum version of the LC circuit!
TODO are there experiments, or just theoretical?
New Revolutions in Particle Physics by Leonard Susskind (2009) by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Quantum Field Theory book by Mark Srednicki (2006) by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Free to view draft: web.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf Page presenting it: web.physics.ucsb.edu/~mark/qft.html
Author affiliation: University of California, Santa Barbara.
Number of pages: 616!
Don't redistribute clause, and final version by Cambridge University Press, alas, so corrections will never be merged back: web.physics.ucsb.edu/~mark/qft.html. But at least he's collecing erratas for the published (and therefore draft) versions there.
The book is top-level organized in spin 0, spin half, and spin 1. Quite ominous, really.
The preface states that one of its pedagogical philosophies is to "Illustration of the basic concepts with the simplest examples.", so maybe there is hope after all.
Problem Book in Quantum Field Theory by Voja Radovanovic (2008) by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
There are unlisted articles, also show them or only show them.