MULTIRESONANCE TUNNELING EFFECT IN DOUBLE-WELL POTENTIALS

We prove that one-dimensional asymmetric double-well potentials of degree four have the property that, at a fixed energy, the classical period is the same in both wells. Quantum mechanically this reflects in a simultaneous occurrence, or alignment, of the spectral quasidegeneracies at certain values of the parameters controlling the shape of the potential. Experimental applications of this property, like multiresonance tunneling effect, are discussed.