Zero-Point Energy

Quantum mechanics has started to bore me, so I've gone a little deeper. My new research project is "Zero Point Energy." This is taking quantum mechanics a little deeper. In a quantum mechanical system such as the particle in a box, the lowest possible energy is called the zero-point energy. According to classical physics, the kinetic energy of a particle in a box or the kinetic energy of the harmonic oscillator may be zero if the velocity is zero. Quantum mechanics with its uncertainty principle implies that if the velocity is measured with certainty to be exactly zero, the uncertainty of the position must be infinite. This either violates the condition that the particle remain in the box, or it brings a new potential energy in the case of the harmonic oscillator. To avoid this paradox, quantum mechanics dictates that the minimal velocity is never equal to zero, and hence the minimal energy is never equal to zero.

I'll let you know more when I think of it :)