Source: cirosantilli/matrix-mechanics

= Matrix mechanics
{title2=1925}
{wiki}

Published by <Werner Heisenberg> in 1925-07-25 as <quantum mechanical re-interpretation of kinematic and mechanical relations by Heisenberg (1925)>, it offered the first general formulation of quantum mechanics.

It is apparently more closely related to the <ladder operator> method, which is a more <algebraic> than the more <analytical> <Schrödinger equation>.

It appears that this formulation makes the importance of the <Poisson bracket> clear, and explains why <physicists> are so obsessed with talking about <position and momentum space>. This point of view also apparently makes it clearer that <quantum mechanics> can be seen as a generalization of <classical mechanics> through the <Hamiltonian>.

<QED and the men who made it: Dyson, Feynman, Schwinger, and Tomonaga by Silvan Schweber (1994)> mentions however that <relativistic quantum mechanics> broke that analogy, because some 2x2 matrix had a different form, TODO find that again.

<Inward Bound by Abraham Pais (1988)> chapter 12 "Quantum mechanics, an essay" part (c) "A chronology" has some ultra brief, but worthwhile mentions of matrix mechanics and the <commutator>.