41 citations · 66 across the 22 of their papers we have counts for
4 papers · 1 filter
Functional Integral Approach to -algebraic Quantum Mechanics II: Symplectic Quantum Mechanics
J. LaChapelle
We propose and its Langlands dual as dynamical groups for closed quantum systems. Restricting here to the non-compact group , the quantum theory…
Functional Integral Approach to -algebraic Quantum Mechanics I: Heisenberg and Poincaré
John LaChapelle
The algebraic approach to quantum mechanics has been vital to the development of quantum theory since its inception, and it has evolved into a mathematically rigorous -alge…
Mellin-type Functional Integrals with Applications to Quantum Field Theory and Number Theory
J. LaChapelle
Conventional functional/path integrals used in physics are most often defined and understood, either explicitly or implicitly, as the infinite-dimensional analog of Fourier transfo…
A Framework for Non-Gaussian Functional Integrals with Applications to Quantum Field Theory and Number Theory
J. LaChapelle
We define and develop a framework to understand functional integrals as countable families of Banach-valued Haar integrals on locally compact topological groups. The definition for…