# Functions of Class Q

1. Jul 2, 2004

### maverick280857

A wavefunction is said to be a well-behaved function satisyfing the following properties:

1. $$\psi(x)$$ exists everywhere, is single-valued, differentiable and continuous.

2. $$\frac{\partial\psi}{\partial x}$$ and all such derivatives exist, are single-valued, differentiable and continuous.

etc.

Is Class Q really a widely accepted name (convention) to describe such functions? What's so special about the use of "Class"? Has it got something to with group theory? Or it just class as in classification? Sorry for these obvious looking questions--I couldn't find answers to them in books/on google...