SCHRODINGER EQUATION FOR THE NONRELATIVISTIC PARTICLE CONSTRAINED ON A HYPERSURFACE

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概要

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• Dirac-bracket quantization of the nonrelativistic particle whose motion is constrained on the hypersurface f(x) = constant embedded in a general curved space is discussed. The noncanonical nature of commutation relations makes it difficult to obtain the coordinate representation of momentum operators. Hence the system with the derivative-type constraint df(x)/dt = 0 is alternatively quantized by treating carefully the operator-ordering problem. In this system it is shown that no constraints exist on coordinates and momenta and that one can thus have a coordinate representation, which leads, in turn, to the representation and the Schrodinger equation in the system with constraint f(x) = constant.

• 素粒子論グループ 素粒子研究編集部の論文
• 1993-04-20

著者

• Homma Takahiro

  Department Of Physics Faculty Of Science Science University Of Tokyo

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• SCHRODINGER EQUATION FOR THE NONRELATIVISTIC PARTICLE CONSTRAINED ON A HYPERSURFACE

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