Hamiltonian Quantization with Constraints

InHamiltonian quantization the framework of the Dirac quantization with the second class constraintsSecond class constraint|(, a free particleFree particle moving on surface of (d – 1) – dimensional spheredimensional sphere has ambiguity in its energy spectrumEnergy spectrum due to arbitrary shift of canonical momentaShift of canonical momentum. In this chapter, we show that this spectrum obtained by the Dirac method can be consistent with that of the improved Dirac Hamiltonian formalism at the level of the first class constraintFirst class constraint by fixing ambiguity, and thenHong, S.T. weKim, W.T. discussPark, Y.J. its physical consequences [48].