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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Spheroidal and Related Functions
>
Built-in
Mathematica
Symbol
Spheroidal Functions
Tutorials »
|
SpheroidalS1
SpheroidalS2
SpheroidalPS
SpheroidalQS
MathieuCharacteristicA
See Also »
|
Functions Used in Quantum Mechanics
Special Functions
Spheroidal and Related Functions
New in 6.0: Mathematical Functions
More About »
SpheroidalEigenvalue
SpheroidalEigenvalue
[
n
,
m
,
]
gives the spheroidal eigenvalue with degree
and order
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The spheroidal eigenvalues for successive
correspond to the successive values of
for which there exist normalizable solutions to the differential equation
.
SpheroidalEigenvalue
[
n
,
m
,
0
]
is equal to
.
For certain special arguments,
SpheroidalEigenvalue
automatically evaluates to exact values.
SpheroidalEigenvalue
can be evaluated to arbitrary numerical precision.
SpheroidalEigenvalue
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
Series expansion in the spherical limit:
In[1]:=
Out[1]=
Scope
(6)
Applications
(2)
Possible Issues
(1)
SEE ALSO
SpheroidalS1
SpheroidalS2
SpheroidalPS
SpheroidalQS
MathieuCharacteristicA
TUTORIALS
Spheroidal Functions
MORE ABOUT
Functions Used in Quantum Mechanics
Special Functions
Spheroidal and Related Functions
New in 6.0: Mathematical Functions
New in 6
] 
and order 
.
correspond to the successive values of 
for which there exist normalizable solutions to the differential equation 
.
.
EXAMPLES
Basic Examples 
Scope 