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MathieuCharacteristicA
MathieuCharacteristicB
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Functions Used in Quantum Mechanics
Mathieu and Related Functions
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MathieuCharacteristicExponent
MathieuCharacteristicExponent
[
a
,
q
]
gives the characteristic exponent
r
for Mathieu functions with characteristic value
a
and parameter
q
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
All Mathieu functions have the form
where
has period
and
r
is the Mathieu characteristic exponent.
For certain special arguments,
MathieuCharacteristicExponent
automatically evaluates to exact values.
MathieuCharacteristicExponent
can be evaluated to arbitrary numerical precision.
MathieuCharacteristicExponent
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(5)
Applications
(2)
Properties & Relations
(1)
Neat Examples
(1)
SEE ALSO
MathieuCharacteristicA
MathieuCharacteristicB
TUTORIALS
Mathieu and Related Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Functions Used in Quantum Mechanics
Mathieu and Related Functions
New in 3
© 2008 Wolfram Research, Inc.
where 
has period 
and r is the Mathieu characteristic exponent.
EXAMPLES
Basic Examples 
Scope 