Towards Efficient Computation of Functional Determinants in QM and QFT
Musa Maharramov
TL;DR
This paper reviews current methods for computing functional determinants in quantum mechanics and quantum field theory, and proposes a new approach for higher-dimensional Hamiltonians lacking radial symmetry.
Contribution
It provides an overview of existing techniques and suggests a novel method for complex higher-dimensional Hamiltonians without radial symmetry.
Findings
Summarizes current computational methods.
Identifies challenges in higher-dimensional cases.
Proposes a new approach for non-radially symmetric Hamiltonians.
Abstract
We present an overview of the existing methods for computing functional determinants, and outline a possible way forward for Hamiltonians of higher dimensions without radial symmetry.
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Taxonomy
TopicsMolecular spectroscopy and chirality · Quantum chaos and dynamical systems · Advanced NMR Techniques and Applications