伪高斯量子模型
Pseudo-Gaussian quantum models
摘要：
本文提出了一类新的一维量子模型，它是用具有高斯渐近行为的新势来表示的，但当$x\to 0$ .结果表明，在谐振子的能量基中，这些新模型的哈密顿算符的矩阵元可以由生成泛函导出。
英文摘要：
A new family of one-dimensional quantum models is proposed in terms of new potentials with a Gaussian asymptotic behavior but approaching to the potential of the harmonic o scillator when $x\to 0$. It is shown that, in the energy basis of the harmonic oscillator, the matrix elements of the Hamiltonian operators of these new models can be derived from generating functionals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
