Hy
I am trying to solve problem of quantum pendulum in region of unstable equilibrium.
I am doing it in Heiseberg interpretation of QM. The equation of motion that I am getting is
\dot{\dot{\theta}} = \omega^2\theta ,
and the solution is in form of :
x (t) = A\cosh(\omega t) + B\sinh...
Anybody know , where can I read some paper about problem which is known by: quantum rod, tipping rod, balancing pencil, quantum pencil. Thanks in advanced.