- #1
Joao
- 80
- 8
Hi everyone! I'm a psychologist form Brazil, so sorry for the bad English and for the lack of knowledge in math!
I ve been trying to understand the Schrodinger equation and, as predicted, it's very hard!
Please, help me with this:
A sine wave function can be written as:
F (x) = sin (x)
And that can be represented as psi.
The the derivative of that function can be written as:
F (x) = cos (x)
And that can be represented as psi dot.
Also, the derivative of psi dot can be written as:
F (x) = - sin (x)
And that's psi with two dots.
So far I understood!
But things get confusing here:
A wave equation can be written as:
F (x) = A sin (2π f x )
Where A stands for the amplitude, 2π f x stands for the period.
But, in this video:
It is stated, at 8 mins, that the correct wave function is, as expected:
F (x)= sin (2π f t)
And that's represented by psi
But the derivative of that is
F (x) = 2π f cos (2π f t)
And not
F (x) = cos (2π f t)
(And that's represented by psi dot)
To make things worst, the derivative of that last equation, psi dot, is represented by
## f (x) = - (2π f)^2 sin (2π f t) ##
And not just
F (x) = - sin (2π f t)
(And that's represented by psi with 2 dots)
Why is that?
Thanks a lot!
I ve been trying to understand the Schrodinger equation and, as predicted, it's very hard!
Please, help me with this:
A sine wave function can be written as:
F (x) = sin (x)
And that can be represented as psi.
The the derivative of that function can be written as:
F (x) = cos (x)
And that can be represented as psi dot.
Also, the derivative of psi dot can be written as:
F (x) = - sin (x)
And that's psi with two dots.
So far I understood!
But things get confusing here:
A wave equation can be written as:
F (x) = A sin (2π f x )
Where A stands for the amplitude, 2π f x stands for the period.
But, in this video:
It is stated, at 8 mins, that the correct wave function is, as expected:
F (x)= sin (2π f t)
And that's represented by psi
But the derivative of that is
F (x) = 2π f cos (2π f t)
And not
F (x) = cos (2π f t)
(And that's represented by psi dot)
To make things worst, the derivative of that last equation, psi dot, is represented by
## f (x) = - (2π f)^2 sin (2π f t) ##
And not just
F (x) = - sin (2π f t)
(And that's represented by psi with 2 dots)
Why is that?
Thanks a lot!