منابع مشابه
Invariance in adelic quantum mechanics
Adelic quantum mechanics is form invariant under an interchange of real and p-adic number fields as well as rings of p-adic integers. We also show that in adelic quantum mechanics Feynman’s path integrals for quadratic actions with rational coefficients are invariant under changes of their entries within nonzero rational numbers.
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We show how conformal invariance predicts the functional form of two-point correlators in one-dimensional periodic quantum systems. Numerical evidence for this functional form in a wide class of models — including long-ranged ones — is given and it is shown how this may be used to significantly speed up calculations of critical exponents. 05.70.Jk, 11.30.-j, 64.60.Fr Typeset using REVTEX
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We construct a q-deformed version of the conformal quantum mechanics model of de Alfaro, Fubini and Furlan for which the deformation parameter is complex and the unitary time evolution of the system is preserved. We also study differential calculus on the q-deformed quantum phase space associated with such system. CERN-TH/2000-210 July, 2000 E-mail: [email protected]
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Reciprocity in wave propagation usually refers to the symmetry of the Green’s function under the interchange of the source and the observer coordinates, but this condition is not gauge invariant in quantum mechanics, a problem that is particularly significant in the presence of a vector potential. Several possible alternative criteria are given and analyzed with reference to different examples ...
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_ _. We argue that th&crossing (CPT) y s mmetry of relativistic quantum mechanics requires that both the Coulombic and the Newtonian force between pairs of particles will reverse when one is replaced by its anti-particle. For consistency, this requires a theory in which both the equivalence principle and gauge invariance are abandoned. Thus whether ant,i-hydrogen " falls " up or down will provi...
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ژورنال
عنوان ژورنال: Il Nuovo Cimento A
سال: 1976
ISSN: 0369-3546,1826-9869
DOI: 10.1007/bf02785666