Abstract
A semigroup evolution for the 1/2-spin which admits a conservative dilation is known to be governed by a Bloch equation in a standard form. Here we construct a conservative dilation directly from the Bloch equation, thus yielding an example of a dilation scheme for an evolution which is not quasifree. Moreover, we show that this conservative evolution is never ergodic in the non-quasifree case.
Varilly, J C
[1]
- Costa Rica Univ., San Jose. Escuela de Matematica
Citation Formats
Varilly, J C.
Dilation of non-quasifree dissipative evolution.
Netherlands: N. p.,
1981.
Web.
Varilly, J C.
Dilation of non-quasifree dissipative evolution.
Netherlands.
Varilly, J C.
1981.
"Dilation of non-quasifree dissipative evolution."
Netherlands.
@misc{etde_5791176,
title = {Dilation of non-quasifree dissipative evolution}
author = {Varilly, J C}
abstractNote = {A semigroup evolution for the 1/2-spin which admits a conservative dilation is known to be governed by a Bloch equation in a standard form. Here we construct a conservative dilation directly from the Bloch equation, thus yielding an example of a dilation scheme for an evolution which is not quasifree. Moreover, we show that this conservative evolution is never ergodic in the non-quasifree case.}
journal = []
volume = {5:2}
journal type = {AC}
place = {Netherlands}
year = {1981}
month = {Mar}
}
title = {Dilation of non-quasifree dissipative evolution}
author = {Varilly, J C}
abstractNote = {A semigroup evolution for the 1/2-spin which admits a conservative dilation is known to be governed by a Bloch equation in a standard form. Here we construct a conservative dilation directly from the Bloch equation, thus yielding an example of a dilation scheme for an evolution which is not quasifree. Moreover, we show that this conservative evolution is never ergodic in the non-quasifree case.}
journal = []
volume = {5:2}
journal type = {AC}
place = {Netherlands}
year = {1981}
month = {Mar}
}