Construction of time of arrival operators for inverse cube potential

Abstract

We demonstrate the process of constructing time of arrival operators for inverse cube potential using Bender-Dunne basis operators. The constructed operators differs from the classical time of arrival in the classical limit, since the process of Bender and Dunne prescribed obtaining only the minimal solutions. An additional process is added in the construction of the operators so that it can fully replicate the classical time of arrival in the classical limit.