Get started
Work

Path Integrals, Spontaneous Localisation, and the Classical Limit

Year: 2019
Type: article
Abstract: The measurement problem and the absence of macroscopic superposition are two foundational problems of quantum mechanics today. One possible solution is to consider the Ghirardi–Rimini–Weber (GRW) model of spontaneous localisation. Here, we describe how spontaneous localisation modifies the path integral formulation of density matrix evolution in quantum mechanics. We provide two new pedagogical derivations of the GRW propagator. We then show how the von Neumann equation and the Liouville equation for the density matrix arise in the quantum and classical limit, respectively, from the GRW path integral.
DOI: 10.1515/zna-2019-0251
Authors: Bhavya Bhatt, Manish Ram Chander, Raj Patil, Ruchira Mishra, Shlok Nahar, Tejinder P. Singh
Institutions: Indian Institute of Technology Mandi, Indian Institute of Technology Madras, Indian Institute of Science Education and Research Pune, Indian Institute of Science Education and Research Mohali, Indian Institute of Technology Bombay, Tata Institute of Fundamental Research
Language: English
Open Access status: green
OpenAlex ID: W2885542287
FWCI: 0.219
Cites: 15
Cited by: 2
Related to: