arXiv subjects
Publications and source records attributed to Shuji Nima.
Path integral for the $SU(2)$ spin system is reconsidered. We show that the Nielsen-Rohrlich(NR) formula is equivalent to the spin coherent state expression so that the phase space in the NR formalism is not topologically nontrivial. We also perform the WKB approximation in the NR formula and find that it gives the exact result.
A method for finding Berry's phase is proposed under the Euclidean path integral formalism. It is characterized by picking up the imaginary part from the resultant exponent. Discussion is made on the generalized harmonic oscillator which is shown being so universal in a single degree case. The spin model expressed by creation and annihilation operators is also discussed. A systematic way of expansion in the adiabatic approximation is presented in every example.