PHASE-INTEGRAL APPROACH TO ROSEN-MORSE POTENTIALS

NILS DALARSSON

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PHASE-INTEGRAL APPROACH TO ROSEN-MORSE POTENTIALS

机译：罗森莫斯电位的相积分方法

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We apply the phase-integral condition to the motion of a quantal particle in theRosen-Morse potential V(x)=B₀tanh(x/x₀)-U₀cosh-2(x/x₀)to show that it yields the energy eigenvalues exactly in any order of approximation, whenthe base function is chosen conveniently. Thereafter, we show that the phase-integralformula for the normalization factors of bound states agrees very satisfactorily with theexact calculation. Finally, we apply the phase-integral formula for the reflexioncoefficient to the transmission of a quantal particle through the above potential to showthat it gives very accurate results.

机译：我们将相积分条件应用于Rosen-Morse势V（x）= B _{0 tanh（x / x _{0 ）-U <子> 0 COSH ^{-2 （X / X <子> 0 ），以表明它恰好产生能量本征值在近似任何顺序，whenthe被选择基本函数方便。此后，我们证明了束缚态归一化因子的相位积分公式与精确计算非常吻合。最后，我们通过上述势能将反射系数的相位积分公式应用于量子粒子的传输，以表明它给出了非常准确的结果。}}}

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《Fizika: A journal of experimental and theoretical physics, B. general physics, nuclear physics, particles and fields》 |1994年第3期|共页
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NILS DALARSSON;
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PHASE-INTEGRAL APPROACH TO ROSEN-MORSE POTENTIALS

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