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Wave Mechanics
Erwin Schroedinger:
an electron exhibiting wavelike
properties can be described by a mathematical
equation called
wave equation. The electron
is then
described
by a wavefunction (
ψ
) corresponding to
a standing wave,
within the boundary conditions of
the system under investigation.
Ψ
e
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View Full Document Schroedinger equation as an eigenvalue problem:
frst we introduce the
concept oF operators
Schroedinger equation as an eigenvalue problem:
eigenfunctions and eigenvalues
a
a
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View Full Document Schroedinger equation as an eigenvalue problem:
eigenfunctions and eigenvalues
•
The Hamiltonian operator acts on the wavefunction
and gives the energy of the particle
•
The wavefunction is an eigenfunction of the
Hamiltonian operator and the energy is an eigenvalue
of the Hamiltonian operator
Schroedinger equation as an eigenvalue problem:
eigenfunctions and eigenvalues
Kinetic Energy
Operator (1D)
Momentum
Operator (1D)
•
Is the function exp(ikx) an
eigenfunction of the momentum
operator?
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This note was uploaded on 02/06/2011 for the course CHE 110A taught by Professor Mccurdy during the Fall '09 term at UC Davis.
 Fall '09
 Mccurdy
 Electron

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