- #1
nhanle
- 10
- 0
Homework Statement
A two-dimensional harmonic oscillator is described by a potential of the form
V(x,y) = 1/2 m [tex] \omega^{2}[/tex](x[tex]^{2}[/tex]+y[tex]^{2}[/tex] + [tex]\alpha (x-y)^{2}[/tex]
where [tex]\alpha[/tex] is a positive constant.
Homework Equations
Find the ground-state energy of the oscillator
The Attempt at a Solution
I have tried to plug in the energy of SHO for each dimension x,y; yielding E = h_bar [tex]\omega[/tex](nx+1/2) + h_bar [tex]\omega[/tex](ny+1/2)
which method should I use to solve the third term i.e. [tex]\alpha (x-y)^{2}[/tex]?