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Self-consistent eld theory
An important unsolved problem in quantum mechanics is how to deal with indistinguishable, interacting particles - in particular electrons which determine the behaviour of
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Indistinguishable Particles and Exchange
Quantum mechanics allows us to predict the results of experiments. If we conduct an experiment
with indistinguishable particles a correct quantum description
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8.1
The Variational Principle
Approximate solution of the Schroedinger equation
If we cant nd an analytic solution to the Schroedinger equation, a trick known as the variational principle allows us
7
+
The H2 Ion and Bonding
As the simplest example of covalent bonding, we consider the hydrogen molecular ion.
electron
+
The hydrogen molecular ion H2 is a system composed of
two protons and a singl
5.6
Example of Golden rule - beta decay
A nucleus decays via the reaction n p e . to form a electron and antineutrino, releasing
energy E0 .
The simplest form for the matrix element describing nuclear
5
5.1
Timedependence
Timedependent Hamiltonians
Recall that for a system described by a Hamiltonian, H0 , which is timeindependent, the most
general state of the system can be described by a wavefunct
4
4.1
Degeneracy, Symmetry and Conservation Laws
Distinguishing between eigenstates, Quantum numbers as labels
How can we distinguish between quantum states |n which have degenerate values of A? The
o
3
3.1
Dealing with Degeneracy
Time-Independent Degenerate Perturbation Theory
We have seen how we can nd approximate solutions for a system whose Hamiltonian is of the
form
H = H0 + V
When we assumed
2
Review: Time-Independent Non-degenerate Perturbation Theory
Theres nothing new in this section, its simply an alternative derivation to the one you saw last
year in Junior Honours. If you prefered t
1
Summary of things you should already know
I think I can safely say that nobody understands quantum mechanics Richard Feynman
1.0
Prerequisite
All material covered in Junior Honours Quantum Mechanics