  Information entropic measures such as Fisher information, Shannon entropy,
Onicescu energy and Onicescu Shannon entropy of a symmetric double-well
potential are calculated in both position and momentum space. Eigenvalues and
eigenvectors of this system are obtained through a variation-induced exact
diagonalization procedure. The information entropy-based uncertainty relation
is shown to be a better measure than conventional uncertainty product in
interpreting purely quantum mechanical phenomena, such as, tunneling and
quantum confinement in this case. Additionally, the phase-space description
provides a semiclassical explanation for this feature. Total information
entropy and phase-space area show similar behavior with increasing barrier
height.
