论文标题
$κ$ -Minkowski非交换时空的Weyl-Mellin量化图
The Weyl-Mellin quantization map for $κ$-Minkowski Noncommutative Spacetime
论文作者
论文摘要
我们介绍了时空功能的量化，即\ \与Weyl Map类似的地图，该图可以重现$κ$ -Minkowski的换向关系，并且它具有映射正方形集成在Hilbert-Schmidt运算符中的可理想特性，以及对自动化运营商的实际功能。该地图基于径向和时间坐标的梅林变换。该地图还定义了一个变形的$*$产品，我们将与示例讨论。
We present a quantization of the functions of spacetime, i.e.\ a map, analog to Weyl map, which reproduces the $κ$-Minkowski commutation relations, and it has the desirable properties of mapping square integrable funcions into Hilbert-Schmidt operators, as well as real functions into self-adjoint operators. The map is based on Mellin transform on radial and time coordinates. The map also define a deformed $*$ product which we discuss with examples.
