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pro vyhledávání: '"Silva, Rodrigo Andrade e"'
Autor:
Silva, Rodrigo Andrade e
We show how a potential that is well-defined everywhere on the positive half-line, but diverges to $-\infty$ as $x\rightarrow 0^+$, may still be able to dynamically confine a particle to the (positive) half-line. We shall call this effect quantum bun
Externí odkaz:
http://arxiv.org/abs/2407.11137
Autor:
Silva, Rodrigo Andrade e
We develop the non-perturbative reduced phase space quantization of causal diamonds in (2+1)-dimensional gravity with a nonpositive cosmological constant. In Part I we described the classical reduction process and the reduced phase space, $\widetilde
Externí odkaz:
http://arxiv.org/abs/2310.03100
Autor:
Silva, Rodrigo Andrade e
We develop the non-perturbative reduced phase space quantization of causal diamonds in (2+1)-dimensional gravity with a nonpositive cosmological constant. In this Part I we focus on the classical reduction process, and the description of the reduced
Externí odkaz:
http://arxiv.org/abs/2308.11741
Autor:
Silva, Rodrigo Andrade e
Swimming in curved spacetime is a phenomenon in which free bodies in curved spacetimes are able to propel themselves by performing cyclic internal motions. Most surprisingly, it has been suggested that, in the limit of fast cycles, the effective moti
Externí odkaz:
http://arxiv.org/abs/2211.04654
We develop the reduced phase space quantization of causal diamonds in pure 2+1 dimensional gravity with a non-positive cosmological constant. The system is defined as the domain of dependence of a topological disc with fixed boundary metric. By solvi
Externí odkaz:
http://arxiv.org/abs/2203.10084
The problem of quantizing a particle on a 2-sphere has been treated by numerous approaches, including Isham's global method based on unitary representations of a symplectic symmetry group that acts transitively on the phase space. Here we reconsider
Externí odkaz:
http://arxiv.org/abs/2011.04888
Autor:
Silva, Rodrigo Andrade e, Landulfo, Andre G. S., Matsas, George E. A., Vanzella, Daniel A. T.
The harmonic oscillator plays a central role in physics describing the dynamics of a wide range of systems close to stable equilibrium points. The nonrelativistic one-dimensional spring-mass system is considered a prototype representative of it. It i
Externí odkaz:
http://arxiv.org/abs/1810.13365
Publikováno v:
Phys. Rev. D 94, 121502(R) (2016)
It has been argued that an extended, quasi-rigid body evolving freely in curved spacetime can deviate from its natural trajectory by simply performing cyclic deformations. More interestingly, in the limit of rapid cycles, the amount of deviation, per
Externí odkaz:
http://arxiv.org/abs/1611.06183
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