Gaussian wave packet states of scalar fields in a universe of de Sitter

Autor:	C. E. F. Lopes, A. M. de M. Carvalho, Claudio Furtado, I. A. Pedrosa
Rok vydání:	2009
Předmět:	Physics De Sitter space Wave packet Scalar (mathematics) Statistical and Nonlinear Physics Wave equation Schrödinger equation symbols.namesake De Sitter universe Quantum cosmology Quantum mechanics symbols Scalar field Mathematical Physics
Zdroj:	Journal of Mathematical Physics. 50:083511
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.3193685
Popis:	In this work, we study quantum effects of a massive scalar field in the de Sitter spacetime. We reduce the problem to that of a time-dependent harmonic oscillator and use exact linear invariants and the dynamic invariant method to derive the corresponding Schrodinger states in terms of solutions of a second order ordinary differential equation. Afterwards, we construct Gaussian wave packet states and calculate the quantum dispersions as well as the quantum correlations for each mode of the quantized scalar field. It is further shown that the center of the Gaussian wave packet remains trapped in the origin.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4d373fc425e3d8dfc4fc2529e2c6a005 https://doi.org/10.1063/1.3193685 Zobrazit plný text záznamu