论文标题
Schrödinger图片与海森贝格图片中的MajoraNADINOS的Lepton数量的时间演变
Time evolution of the lepton number of Majorana neutrinos in the Schrödinger picture versus Heisenberg picture
论文作者
论文摘要
在本文中，我们研究了Majorana Neutrino与Schrödinger图片的期望值的时间演变。具有确定的Lepton数字和具有确定质量的操作员的操作员通过Bogolyubov的转换相互关联。然后，带有零Lepton数的真空也与大型操作员的真空有关，并通过真空的叠加来写入大规模田间和Majoraga condensed状态。我们选择具有确定的Lepton Number $ L $ $ = 1 $的状态和动量$ {\ bf Q} \ ne 0 $作为初始状态。通过用能量本征的叠加来编写状态，我们能够研究状态在Schrödinger图片中的时间演变。计算Lepton数字运算符的期望值，并将其重现与相应的Heisenberg Operator中获得的结果相同。
In this paper, we study the time evolution of the expectation value of Majorana neutrino with the Schrödinger picture.The operators with the definite lepton number and operators with the definite mass are related to each other by a Bogolyubov transformation. Then the vacuum with the null lepton number is also related to the vacuum for the massive operator and it is written by the superposition of the vacuum for massive field and Majorana pairs condensed states. We choose the state with a definite lepton number $L$ $=1$ and the momentum ${\bf q}\ne 0$ as an initial state. By writing the state in terms of the superposition of energy eigenstates, we are able to study the time evolution of the state in the Schrödinger picture.The expectation value of lepton number operator is computed and it reproduces the same result as that obtained in the corresponding Heisenberg operator.
