Continuous-discrete entanglement : An example with non-relativistic particles

This article discusses entanglement between two subsystems, one with discrete degrees of freedom and the other with continuous degrees of free- dom. The overlap integral between continuous variable wave functions emerges as an important parameter to characterize this kind entangle- ment. “Beam-like” entanglement and “shape-like” entanglement are con- trasted. One example of this kind of entanglement is between between the spin degrees of freedom and the momentum degrees of freedom for a non-relativistic particle. This intraparticle entanglement is Galilean in- variant.