分段平坦势和质量的有效哈密顿量
Effective Hamiltonian for piecewise flat potentials and masses
摘要：
考虑一类具有位置依赖质量的厄米哈密顿量$H=((m^alpha)p(m^beta)p(m^alpha))/2+\V$，其中$2(alpha)+β=-1$ .我们将这些哈密顿量应用于不同的分段平坦的潜力和群众（步骤，障碍，以及多障碍）。为了提高排序的模糊性，我们强加的传输系数趋于单位的能量无限增加。我们得到的结论是：有效哈密顿量的形式$H_flat=(m^(-1/4)pm^(-1/2)pm^(-1/4))/2+\V$是描述这种平坦势和质量系统的最适当的形式。
英文摘要：
We consider a class of Hermitian Hamiltonians with position-dependent mass $H=((m^alpha)p(m^beta)p(m^alpha))/2+\V$ with $2(alpha)+β=-1$. We apply these Hamiltonians to different piecewise flat potentials and masses (step, barrier, well and multibarrier). To raise the ordering ambiguity we impose that the transmission coefficient tends to the unity as the energy increases indefinitely. We arrive at the conclusion that the form $H_flat=(m^(-1/4)pm^(-1/2)pm^(-1/4))/2+\V$ of the effective Hamiltonian is the most adequate to describe such flat potentials and masses systems.
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