Transcription of Operator methods in quantum mechanics
{{id}} {{{paragraph}}}
Example: tourism industry
Operator methods in quantum mechanics
Chapter 3 Operator methods inquantum mechanicsWhile the wave mechanical formulation has proved successful in describingthe quantum mechanics of bound and unbound particles, some properties cannot be represented through a wave-like description. For example, the electronspin degree of freedom does not translate to the action of a gradient is therefore useful to reformulate quantum mechanics in a framework thatinvolves only discussing properties of operators, it is helpful to introduce a furthersimplification of notation. One advantage of the Operator algebra is that itdoes not rely upon a particular basis. For example, when one writes H= p22m,where the hat denotes an Operator , we can equally represent the momentumoperator in the spatial coordinate basis, when it is described by the differentialoperator, p= i!
an eigenstate of the momentum operator,ˆp = −i!∂x, with eigenvalue p. For a free particle, the plane wave is also an eigenstate of the Hamiltonian, Hˆ = pˆ2 2m with eigenvalue p2 2m. In quantum mechanics, for any observable A, there is an operator Aˆ which acts on the wavefunction so that, if a system is in a state described by |ψ",
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: