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The wavefunction is written as ps and referred to as a ket vector.
Matrix formulation of quantum mechanics. Basic matrix mechanics frank rioux a quon an entity that exhibits both wave and particle aspects in the peculiar quantum manner nick herbert quantum reality page 64 has a variety of properties each of which can take on two values. This formulation also generalizes more easily to relativity it is the nearest analog to classical physics. For example it has the property of hardnessand can be either hardor soft.
Matrix mechanics is a formulation of quantum mechanics created by werner heisenberg max born and pascual jordan in 1925. The wavefunction formulation which enjoys wider currency today was developed by erwin schro dinger about six months later. Heisenbergs matrix mechanics actually came before schroedingers wave mechanics but were too mathematically different to catch on.
Its account of quantum jumps supplanted the bohr model s electron orbits. Matrix mechanics was the first conceptually autonomous and logically consistent formulation of quantum mechanics. Most of our work will make use of the matrix mechanics formulation of quantum mechanics.
The product of a bra and ket vector a b is therefore an inner product scalar or dot product whereas the product of a ket and bra b a is an outer product matrix. The matrix formulation heisenberg the matrix formulation of quantum mechanics developed by werner heisenberg in june of 1925 was the rst formu lation to be uncovered.
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