Matrices in Quantum Mechanics - Hermitian, Unitary, Eigenstates

[@Cyrus-w6z]

Great video! Nice overview of QM

[@SeriousSolvers]

Glad you enjoyed it

[@jacobvandijk6525]

@ 15:25 You don't have a different wave function at each position. There is only one wave function. But at different positions the wave function has different (complex) values! These values are related to the probability of finding the particle in that position.

[@SeriousSolvers]

100%. My apologies. I think I misspoke there. A single continuous wavefunction across the whole space takes on probability amplitudes psi1, psi2 etc for each position

[@jacobvandijk6525]

@@SeriousSolvers psi1 = psi(x1), etc.

[@voidisyinyangvoidisyinyang885]

@@SeriousSolvers can you do a noncommutative Basil J. Hiley vid? thanks

[@SampleroftheMultiverse]

9 For those That prefer a mechanical analog you can look at harmonics of a guitar string and such. The video I present is another mechanical method of quantizing a system. It is one of two methods where structures can actually be produced. kzbin.info/www/bejne/raOlpKSfepWpfZYsi=waT8lY2iX-wJdjO3 Area under a curve is often equivalent to energy. Buckling of an otherwise flat field shows a very rapid growth of this area. If my model applies, it may show how the universe’s energy naturally developed from the inherent behavior of fields. Under the right conditions, the quantization of a field is easily produced. The ground state energy is induced via Euler’s contain column analysis. Containing the column must come in to play before over buckling, or the effect will not work. The sheet of elastic material “system” response in a quantized manor when force is applied in the perpendicular direction. Bonding at the points of highest probabilities and maximum duration( ie peeks and troughs) of the fields “sheet” produced a stable structure when the undulations are bonded to a flat sheet that is placed above and below the core material.