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math.DGJan 16, 2012
21
citations (OpenAlex)
authors
  • Emmanuel Humbert
institutions
  • Laboratoire de Mathématiques et Physique Théorique
arXiv abstractPDF
paper

Mécanique quantique

arXiv:1201.3214

Abstract

This text aims to explains briefly the formalism of quantum mechanics to mathematicians.

74 pages

Cited by in corpus (13)

  • Exponential number of equilibria and depinning threshold for a directed polymer in a random potential
  • Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
  • An improved discretization of Schrodinger-like radial equations
  • Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
  • Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state
  • Novel approaches to tailor and tune light-matter interactions at the nanoscale
  • Disconjugacy, regularity of multi-indexed rationally-extended potentials, and Laguerre exceptional polynomials
  • Wave-particle duality coming from a bead oscillator in an elastic medium, theoretical study and quantum similarities
  • Epistemic nature of quantum reasoning
  • Gravitation, holographic principle, and extra dimensions
  • Derivation of the Schrödinger equation from the Hamilton-Jacobi equation in Feynman's path integral formulation of quantum mechanics
  • Algebraic discretization of time-independent Hamiltonian systems using a Lie-group/algebra approach
  • A Critical Discussion About The Methodology Of Quantum Theory
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