Research output: Other contribution › Research
PT Symmetric Classical and Quantum Cosmology. / Andrianov, Alexander A.; Lan, Chen; Novikov, Oleg O.
16 p. Springer Proceedings in Physics ed. Switzerland : Springer Nature. 2016. (Springer Proceedings in Physics; Vol. 184).Research output: Other contribution › Research
}
TY - GEN
T1 - PT Symmetric Classical and Quantum Cosmology
AU - Andrianov, Alexander A.
AU - Lan, Chen
AU - Novikov, Oleg O.
N1 - http://www.scimagojr.com/journalsearch.php?q=21100296235&tip=sid&clean=0
PY - 2016
Y1 - 2016
N2 - The classical cosmology of flat space can be realized in a phenomenological scalar field model for dark energy: a two-field model of quintessence and phantom fields. When the model is supplied by a proper field mixing term it becomes analytically solvable for exponential potentials. The motivation is given for replacing a phantom field by a normal pseudoscalar field with complex but PT-symmetric potential (PTom). The comparison of two approaches in their prediction for the fate of our Universe is done in figures. The quantum cosmology of flat space is realized in the Arnowitt-Deser-Misner approach by means of the Wheeler-DeWitt equations. Taking into account the isotropy and homogeneity of space the ADM approach is reduced to only quantized component of space-time metric—Friedmann-Robertson-Walker factor. The quantum models supplied with appropriate mixing kinetic terms turn out to be also integrable for exponential potentials and the exact analytical solutions are obtained for wave functionals of quantum PT
AB - The classical cosmology of flat space can be realized in a phenomenological scalar field model for dark energy: a two-field model of quintessence and phantom fields. When the model is supplied by a proper field mixing term it becomes analytically solvable for exponential potentials. The motivation is given for replacing a phantom field by a normal pseudoscalar field with complex but PT-symmetric potential (PTom). The comparison of two approaches in their prediction for the fate of our Universe is done in figures. The quantum cosmology of flat space is realized in the Arnowitt-Deser-Misner approach by means of the Wheeler-DeWitt equations. Taking into account the isotropy and homogeneity of space the ADM approach is reduced to only quantized component of space-time metric—Friedmann-Robertson-Walker factor. The quantum models supplied with appropriate mixing kinetic terms turn out to be also integrable for exponential potentials and the exact analytical solutions are obtained for wave functionals of quantum PT
U2 - 10.1007/978-3-319-31356-6_3
DO - 10.1007/978-3-319-31356-6_3
M3 - Other contribution
SN - 978-3-319-31354-2
VL - 184
T3 - Springer Proceedings in Physics
PB - Springer Nature
CY - Switzerland
ER -
ID: 7662977