Uncertainty products for the anharmonic morse oscillator (original) (raw)
1980, Lettere Al Nuovo Cimento
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Abstract
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The paper presents a comprehensive analysis of the position-momentum uncertainty relations for the anharmonic Morse oscillator. By extending the concept of coherent states, the authors provide general analytic expressions that characterize uncertainty products in quantum systems with anharmonic potentials. The derived expressions are pertinent not only for understanding quantum mechanics but also for applications in molecular rotation-vibration coupling.
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and and Eq. (37) should read 0, 1 ~v, v =~v, v -Mv, 'v (37) Also, there are several errors in Tables II, III, and IV. In these cases, the errors are too numerous, so we reproduce the tables in their entirety. These changes do not aA'ect any of the conclusions drawn in the paper. We thank Dr. N. Fahrer very much for calling our attention to some misprints and errors. 40 1688 1989 The American Physical Society 40 ERRATA 1689 TABLE II. Matrix elements of z =e '~( k =1-6). M, ', . = 1 -C+ M, ',' M0, 3 + 12(25 -3D )+5C(33D -71)+SC (2 -3D )+5C (11 -6D )+2C (3D -5) S2
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