A new expansion method in the Feynman path integral formalism: Application to a one‐dimensional delta‐function potential
A new expansion method in the Feynman path integral formalism: Application to a one‐dimensional delta‐function potential
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费曼路径积分形式中的一种新展开方法：在一维δ函数势中的应用
DOI：
10.1063/1.1666355
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发表时间：
1973
影响因子：
1.3
通讯作者：
J. Devreese
中科院分区：
文献类型：
--
作者：
M. Goovaerts;A. Babcenco;J. Devreese
正如之前的论文中提出的，量子力学路径积分公式中的扩展方法被扩展以解释具有奇宇称的状态。该方法在一维有吸引力的δ函数势的情况下进行了测试，并且通过展开级数的精确求和分析获得了束缚态和散射态的众所周知的解。讨论了该方法的适用性，并展示了如何通过 Stieltjes 矩理论确定能谱。
An expansion method in the path‐integral formulation of quantum mechanics, as proposed in a previous paper, is extended to account for states with odd parity. The method is tested on the case of a one‐dimensional attractive delta‐function potential and the well‐known solutions for both bound and scattering states are obtained analytically by an exact summation of the expansion series. The applicability of the method is discussed and it is shown how the energy spectrum could be determined by means of Stieltjes theory of moments.