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Commutation Relations, Normal Ordering, and Stirling Numbers
book

Commutation Relations, Normal Ordering, and Stirling Numbers

by Toufik Mansour, Matthias Schork
September 2015
Intermediate to advanced content levelIntermediate to advanced
528 pages
19h 34m
English
Chapman and Hall/CRC
Content preview from Commutation Relations, Normal Ordering, and Stirling Numbers
154 Commutation Relations, Normal Ordering, and Stirling Numbers
where a complete account can be found. The calculation determines the (discrete) energy
levels to E
n
=
me
4
2
2
n
2
, depending only on the principal quantum number n.Comparing
this with (5.5) shows agreement, provided the Rydberg constant is given by R =
me
4
4πc
3
.The
stationary states depend on further quantum numbers, meaning that the energy levels are
degenerated (except for the ground state).
Before we turn in the following subsections to several different aspects of quantum
theory, we would like to mention that an algebraic treatment Dirac’s quantum algebra
of the algebra generated
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Publisher Resources

ISBN: 9781466579897