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the observed 'data', some energy
(wave) state of the observed object
has to be altered.
• Taking observations has discrete
effects on what we measure. i.e. We
change the experiment by observing
it! ψ or WAVEfunction obtained from
quantum mechanical oscillators as
applied to electrons behaving as waves Gives you ENERGY
or “Eigenvalue” as a
function of the 4
quantum numbers Development of Quantum Mechanical
Model: Matrix Mechanics and the
Probability Amplitude
• Max Born and Werner Heisenberg (and student Pascual Jordan) setup
the basis of the Matrix Mechanics solution of Atomic model Nobel Prize,
Physics 1954 Max Born (1928) described,
through principles of matrices, that
the square of the quantum wave
equation Ψ or Ψ2 could be used to
predict the probability of where
the particle would be found. Probability amplitude is a complex number whose modulus squared represents a
probability or probability density. For example, the values taken by a normalised wave
function ψ are amplitudes, since ψ(x)2 gives the probability density at position x 5 1/21/2014 ψ2 The Quantum Mechanical
Picture of the Atom The SQUARE of the WAVEFUNCTION gives you the PROBABILITY of
finding the particle relative to...
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This document was uploaded on 03/26/2014.
 Winter '14
 Atom, Electron, pH

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