A new method for the calculation of functional and path integrals

Amos A. Hari, Sefi Givli

Research output: Contribution to journalArticlepeer-review


This paper addresses a disconnect between the pivotal role of functional (path) integrals in modern theories, such as quantum mechanics and statistical thermodynamics, and the currently limited ability to perform the actual calculation. We present a new method for calculating functional integrals, based on a finite-element formulation, which solves all limitations of existing methods. This approach is far more robust, versatile, and powerful than the prevailing methods, thus allowing for more sophisticated computations and the study of problems that could not previously be tackled. Importantly, existing procedures, element libraries and shape functions, which have been developed throughout the years in the context of engineering analysis and partial differential equations, may be directly employed for this purpose.

Original languageEnglish
Article number13852
JournalScientific Reports
Issue number1
StatePublished - Dec 2023

ASJC Scopus subject areas

  • General


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