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Deformation Theory of Classical Poisson Algebras

  • Maciej Błaszak
Chapter
Classical physics explains matter and energy on a scale familiar to human experience, including the behavior of astronomical bodies. It remains the key to measurement for much of modern science and technology. However, toward the end of the nineteenth century, scientists discovered phenomena in both the large (macro) and the small (micro) worlds that classical physics could not explain. It means for example, that for a proper description of conservative dynamics in micro-scale the classical Hamiltonian mechanics has to be modified (deformed) to a new theory whose predictions are in agrement with experiments in micro-scale of atoms and molecules. Summarizing experimental results from that level we observe that on the microscopic level the classical uncertainty relations (  3.3.15) are violated and have to be modified to a new quantum uncertainty relations

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Maciej Błaszak
    • 1
  1. 1.Division of Mathematical PhysicsFaculty of Physics UAMPoznańPoland

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