Feynman formulas for \(qp\)- and \(pq\)-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles
DOI10.1007/s13324-024-00965-4MaRDI QIDQ6612968
Publication date: 1 October 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
quantizationtime-dependent Schrödinger equationpseudo-differential operatorsFeynman formulaVladimirov operatorChernoff product formulafinite adeles
Pseudodifferential operators as generalizations of partial differential operators (35S05) Path integrals in quantum mechanics (81S40) General quantum mechanics and problems of quantization (81S99) Adèle rings and groups (11R56) Schrödinger and Feynman-Kac semigroups (47D08)
Cites Work
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- Finite approximations of physical models over local fields
- Pseudodifferential equations over non-Archimedean spaces
- Parabolic type equations and Markov stochastic processes on adeles
- \(p\)-adic AdS/CFT
- A generalization of Chernoff's product formula for time-dependent operators
- Hamiltonian Feynman formulas for equations containing the vladimirov operator with variable coefficients
- Path integrals for a class of \(p\)-adic Schrödinger equations
- P-adic Schrödinger-type equation
- On \(p\)-adic mathematical physics
- Semigroups of linear operators and applications to partial differential equations
- p-adic space-time and string theory
- p-adic quantum mechanics
- A random walk on \(p\)-adics -- the generator and its spectrum
- Tensor network and (\(p\)-adic) AdS/CFT
- Number theory as the ultimate physical theory
- Dynamics on rugged landscapes of energy and ultrametric diffusion
- \(p\)-adic analogue of the porous medium equation
- The theory of non-Archimedean generalized functions and its applications to quantum mechanics and field theory
- Adelic model of harmonic oscillator
- Feynman formula for Schrödinger-type equations with time- and space-dependent coefficients
- Green's functions for Vladimirov derivatives and Tate's thesis
- Ultrametric diffusion, rugged energy landscapes and transition networks
- Multidimensional nonlinear pseudo-differential evolution equation with \(p\)-adic spatial variables
- Feynman-Kac-type theorems and Gibbs measures on path space. Vol. 1. Feynman-Kac-type formulae and Gibbs measures
- \(p\)-adic mathematical physics: the first 30 years
- Contraction semi-groups in a function space
- Note on product formulas for operator semigroups
- Estimates of certain exit probabilities for \(p\)-adic Brownian bridges
- \(p\)-adic cellular neural networks: applications to image processing
- Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions
- A Schrödinger-type equation over the field of p-adic numbers
- Fourier Analysis on Local Fields. (MN-15)
- The Riemann Zeros and Eigenvalue Asymptotics
- One-Parameter Semigroups for Linear Evolution Equations
- Ultrametric Pseudodifferential Equations and Applications
- The Method of Chernoff Approximation
- On infinitesimal generators and Feynman–Kac integrals of adelic diffusion
- A compact hamiltonian with the same asymptotic mean spectral density as the Riemann zeros
- p-Adic and Adelic Cosmology: p-Adic Origin of Dark Energy and Dark Matter
- On a diffusion on finite adeles and the Feynman-Kac integral
- Dynamical systems of algebraic origin
- Hearing shapes viap-adic Laplacians
- Matrix-valued Schrödinger operators over finite adeles
- The Vladimirov operator with variable coefficients on finite adeles and the Feynman formulas for the Schrödinger equation
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