Correspondence principle in arbitrary coordinates

[QuantumCosmo]

Hi,
I am currently learning for a test in theoretical physics and in one of my books it was mentioned that there is a reason why the correspondence principle only works in cartesian coordinates. Sadly, they didn't give that reason nor a book or website where one could look it up if interested.
Does anyone here know why it only works in cartesian coordinates?
Thanks in advance,
QuantumCosmo

 

[Bill_K]

Not really. The correspondence principle says that (Wikipedia) "the behavior of a quantum system reproduces that of a classical system in the limit of large quantum numbers". All I can think of is that in non-Cartesian coordinates the correspondence does not always hold going the other way, and low quantum numbers are sometimes necessary too. For example a classical system that was axially symmetric would have m = 0.