Jonathan,
thanks for the quick response. This is celestial mechanics, not quantum 
mechanics, but I will take a look at the package you recommended to see if 
there is anything I can use. The problem I am looking at is very old, and 
all solutions created up to now are either approximations or numerical 
calculations. I am looking to see if I can find an analytical solution for 
any of the questions involved in the problem, and Sympy is a good way to 
explore this, even though the questions I am examining are basically pure 
mathematics and not physics.

On Wednesday, January 6, 2021 at 6:31:48 PM UTC+1 [email protected] wrote:

> Thomas,
> These look like quantum energy level equations. Have you looked at 
> sympy.physics.quantum to see if they have solved your problem? I seem to 
> remember they have defined some special quantities for quantum numbers that 
> are limited to integer and half-integer values. I make no promises as I 
> have not actually used the package. This is just a recollection from 
> scanning through the documents.
>
> Jonathan
>
> On Wednesday, January 6, 2021 at 11:16:46 AM UTC-6 [email protected] 
> wrote:
>
>> If I use 1/3 in an expression, I get 0.333..., but I know that I can 
>> write Rational(1,3) instead. Now I have some expressions, such as
>>
>> -((s)/(j))*((4*(j-1)*s+4*j**2+4*j-2-4*(s-j+1)*m+m**2)/(2*(4*j**2-1)-4*m+m**2))
>> where m is a symbol that will ultimately be replaced by a floating-point 
>> number, and s and j are integers (positive or negative, but never zero). 
>> They are replaced (using subs), and when I substitute s by 3 and j by 1, I 
>> get 0.333.... In the formula, I can't write Rational(s,j), because Rational 
>> does not accept a symbol as an argument.
>> Is there a way to do this?
>>
>

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