p-adic quantum mechanics is a collection of related research efforts in quantum physics that replace real numbers with p-adic numbers. Historically, this research was inspired by the discovery that the Veneziano amplitude of the open bosonic string, which is calculated using an integral over the real numbers, can be generalized to the p-adic numbers. This observation initiated the study of p-adic string theory. Another approach considers particles in a p-adic potential well, with the goal of finding solutions with smoothly varying complex-valued wave functions. Alternatively, one can consider particles in p-adic potential wells and seek p-adic valued wave functions, in which case the problem of the probabilistic interpretation of the p-adic valued wave function arises. As there does not exist a suitable p-adic Schrödinger equation, path integrals are employed instead. Some one-dimensional systems have been studied by means of the path integral formulation, including the free particle, the particle in a constant field, and the harmonic oscillator. (Wikipedia).
A Rigorous Renormalization Group Study of a p-Adic Quantum Field Theory
Abdelmalek Abdesselam University of Virginia November 12, 2010 ANALYSIS/MATHEMATICAL PHYSICS SEMINAR This talk will be a progress report on an ongoing research project which is joint work with Ajay Chandra and Gianluca Guadagni and which concerns a p-adic analog of the Brydges-Mitter-Scop
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Yuri Manin - Numbers as functions
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From playlist 28ème Journées Arithmétiques 2013
p-adic numbers. Part 2: p-adic powers
This is the second part of a 3-part talk on p-adic numbers for advanced high school students. It is part of a series organized by the Berkeley mathematics circle. We define the p-adic integers for p a prime, and use this to construct the field of p-adic numbers. We show how do do various
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Vaughan F. R. Jones: On the semicontinuous limit of quantum spin chains
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From playlist HIM Lectures: Trimester Program "Von Neumann Algebras"
Can p-adic integrals be computed? - Thomas Hales
Automorphic Forms Thomas Hales April 6, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Conference Agena: ht
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Kevin Buzzard (lecture 11/20) Automorphic Forms And The Langlands Program [2017]
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From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
The Butterfly Effect - What Does It Really Signify?
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From playlist Oxford Mathematics Public Lectures
Diophantine Inheritance and dichotomy for P - adic measures by Shreyasi Datta
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
p-Adic Hodge Theory - Alexander Beilinson
Alexander Beilinson University of Chicago November 28, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Maxim Kontsevich - 1/4 Bridgeland Stability over Non-Archimedean Fields
Bridgeland stability structure/condition on a triangulated category is a vast generalization of the notion of an ample line bunlde (or polarization) in algebraic geometry. The origin of the notion lies in string theory, and is applicable to derived categories of coherent sheaves, quiver re
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Coherent (phi, Gamma)-modules and cohomology of local systems by Kiran Kedlaya
PERFECTOID SPACES ORGANIZERS : Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri and Narasimha Kumar Cheraku DATE & TIME : 09 September 2019 to 20 September 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknat
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Knots and Quantum Theory | Edward Witten, Charles Simonyi Professor
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