From Lagrangian to Quantum Mechanics with Symmetries
نویسندگان
چکیده
منابع مشابه
Causality, Symmetries and Quantum Mechanics
It is argued that there is no evidence for causality as a metaphysical relation in quantum phenomena. The assumption that there are no causal laws, but only probabilities for physical processes constrained by symmetries, leads naturally to quantum mechanics. In particular an argument is made for why there are probability amplitudes that are complex numbers. This argument generalizes the Feynman...
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It is shown how nonlinear versions of quantum mechanics can be refolmulated in terms of a (linear) C∗-algebraic theory. Then also their symmetries are described as automorphisms of the correspondong C∗-algebra. The requirement of “conservation of transition probabilities” is discussed. 1 A formulation of nonlinear quantum mechanics Nonlinear quantum mechanics (NLQM) is usually formulated in a f...
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Translations in space are also called spatial translations, and sometimes even just “translations” for short, with “spatial” left implicit. To introduce the concept, let us consider the simplest example of a single particle in one spatial dimension. The state |x〉 is the eigenstate of the position operator x̂ with eigenvalue x: x̂|x〉 = x|x〉. (1) The eigenstates of x̂ obey 〈x|x′〉 = δ(x − x′). Now co...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2012
ISSN: 1742-6596
DOI: 10.1088/1742-6596/380/1/012008