Particle in a Möbius wire and half-integer orbital angular momentum
Evangelos Miliordos · Physical Review A · 2011
Restricting one particle on the rim of a M\"obius strip (M\"obius wire), its wave functions are explicitly calculated through the nonrelativistic quantum theory. Demanding the wave function to be single valued, it is proven that in the case of a narrow strip the orbital angular momentum of the particle takes both integer and half-integer values of $\ensuremath{\hbar}$. In addition, the energy values of two chiral M\"obius wires are proven to be equal.