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Theory and Application of Mathieu Functions
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The article was published on 1964-01-01 and is currently open access. It has received 2100 citations till now. The article focuses on the topics: Mathieu function.read more
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f(R) theories
TL;DR: Various applications of f(R) theories to cosmology and gravity — such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds are reviewed.
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Cosmology of the invisible axion
TL;DR: In this article, the authors identify a new cosmological problem for models which solve the strong CP puzzle with an invisible axion, unrelated to the domain wall problem, and identify the energy density stored in the oscillations of the classical axion field does not dissipate rapidly; it exceeds the critical density needed to close the universe unless fa ⩽ 1012GeV wherefa is the axion decay constant.
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Quantum dynamics of single trapped ions
TL;DR: Theoretical and experimental work on radio-frequency (Paul) traps is reviewed in this paper, with a focus on ions trapped in radiofrequency traps, which are ideal for quantum-optical and quantum-dynamical studies under well controlled conditions.
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A cosmological bound on the invisible axion
L. F. Abbott,Pierre Sikivie +1 more
TL;DR: In this paper, the production of axions in the early universe was studied and axion models which break the U(1)PQ symmetry above 1012 GeV were found to produce an unacceptably large axion energy density.
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Towards the theory of reheating after inflation
TL;DR: In this paper, the authors investigated a simple model of a massive inflaton field coupled to another scalar field with the interaction term, and developed the theory of preheating taking into account the expansion of the universe and back reaction of produced particles, including the effects of rescattering.