Full Quantum Theory of ${C_{60}}$ Double-slit Diffraction

TL;DR

This paper develops a comprehensive quantum theoretical framework for ${C_{60}}$ molecule double-slit diffraction, combining Schrödinger and Feynman path integral methods, and validates it against experimental data considering decoherence effects.

Contribution

It introduces a full quantum approach integrating Schrödinger and path integral methods for ${C_{60}}$ diffraction, enhancing understanding of quantum interference with experimental validation.

Findings

The theoretical results match experimental data when decoherence is included.

The method accurately predicts diffraction patterns of ${C_{60}}$ molecules.

Decoherence effects are crucial for aligning theory with experiments.

Abstract

In this paper, we apply the full new method of quantum theory to study the double-slit diffraction of ${C_{60}}$ molecules. We calculate the double-slit wave functions of ${C_{60}}$ molecules by Schr\"{o}dinger equation, and calculate the diffraction wave function behind the slits with the Feynman path integral quantum theory, and then give the relation between the diffraction intensity of double-slit and diffraction pattern position. We compare the calculation results with two different double-slit diffraction experiments. When the decoherence effects are considered, the calculation results are in good agreement with the two experimental data.