- #1
wuhtzu
- 9
- 0
Hi everyone
I was wondering how to determine the parity of a function of multiple variables.
Say the function is:
[tex]f(x,z) = xz[/tex]
How would I determine its parity?
For the above function it is true that #1 f(x,z) = f(-x,-z) but its also true that #2 [tex]\int_{-a}^{a}\int_{-a}^{a}xz \dx \dz = 0[/tex].
In one variable functions #1 would indicate an even function and #2 would indicate an odd function. So I guess you cannot directly extend the concept of odd and even function from one variable to multiple variables?
The ultimate need to answer such question is to determine the parity of potentials in quantum mechanics :)
Best regards
Wuhtzu
I was wondering how to determine the parity of a function of multiple variables.
Say the function is:
[tex]f(x,z) = xz[/tex]
How would I determine its parity?
For the above function it is true that #1 f(x,z) = f(-x,-z) but its also true that #2 [tex]\int_{-a}^{a}\int_{-a}^{a}xz \dx \dz = 0[/tex].
In one variable functions #1 would indicate an even function and #2 would indicate an odd function. So I guess you cannot directly extend the concept of odd and even function from one variable to multiple variables?
The ultimate need to answer such question is to determine the parity of potentials in quantum mechanics :)
Best regards
Wuhtzu