This paper introduces a novel quantum-mechanical model that describes psychological phenomena using the analogy of a harmonic oscillator represented by an electron trapped in a potential well. Study~1 demonstrates the application of the proposed model to bistable perception of ambiguous figures (i.e., optical illusions), exemplified by the Necker cube. While prior research has theoretically linked quantum mechanics to psychological phenomena, in Study~2 we demonstrate a viable physiological connection between physics and bistable perception. To that end, the model draws parallels between quantum tunneling of an electron through a potential energy barrier and an eye blink, an action known to trigger perceptual reversals. Finally, we discuss the ability of the model to capture diverse optical illusions and other psychological phenomena, including cognitive dissonance.