Special Issue: “Symmetries in Quantum Mechanics and Statistical Physics”
نویسندگان
چکیده
Symmetry is a fundamental concept in science and has played significant role since the early days of quantum physics [...]
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...
متن کاملTransformations and symmetries in quantum mechanics
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...
متن کاملTransformations and symmetries in quantum mechanics
These notes give a brief and basic introduction to some central aspects concerning transformations and symmetries in quantum mechanics. Examples discussed include translations in space and time, as well as rotations. 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 con...
متن کاملZ3-graded Symmetries in Quantum Mechanics
In this paper we consider Z3-graded topological symmetries (TSs) [2, 3] in one dimensional quantum mechanics. We give a classification of one dimensional quantum systems possessing these symmetries and show that different classes correspond to a positive integer N .
متن کاملDynamical Symmetries in q-deformed Quantum Mechanics
The dynamical algebra of the q-deformed harmonic oscillator is constructed. As a result, we find the free deformed Hamiltonian as well as the Hamiltonian of the deformed oscillator as a complicated, momentum dependent interaction Hamiltonian in terms of the usual canonical variables. Furthermore we construct a well-defined algebra SUq(1,1) with consistent conjugation properties and comultiplica...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13112027