3 papers
quant-ph2025
Dirac delta-convergence of free-motion time-of-arrival eigenfunctions
John Jaykel P. Magadan, Eric A. Galapon
Previous numerical analyses on the Aharonov-Bohm (AB) operator representing the quantum time-of-arrival (TOA) observable for the free particle have indicated that its eigenfunction…
quant-ph2024
The role of conjugacy in the dynamics of time of arrival operators
Dean Alvin L. Pablico, John Jaykel P. Magadan, Carl Anthony L. Arguelles +1
The construction of time of arrival (TOA) operators canonically conjugate to the system Hamiltonian entails finding the solution of a specific second-order partial differential equ…
quant-ph2018
Quantizations of the classical time of arrival and their dynamics
Eric A. Galapon, John Jaykel P. Magadan
The classical time of arrival in the interacting case is quantized by way of quantizing its expansion about the free time of arrival. The quantization is formulated in coordinate r…