Short-time propagator on curved spaces |
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Authors: | V Pažma P Prešnajder |
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Institution: | (1) Institute of Physics and Biophysics, Comenius University, Mlynská dolina F 2, 842 15 Bratislava, Czechoslovakia |
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Abstract: | It is shown that the standard WKB-approximation (the approximation of the first order in ) to the propagator is not sufficient for the construction of the short-time propagator on curved spaces. The proper short-time propagator can be obtained by means of the second order (in ) WKB-approximation and then no subtraction of a quantum correction proportional to
2 from the original Lagrangian is necessary.The authors are indebted to J. Tolar for valuable critical comments and advices. |
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