论文标题
探测器中粒子轨道的出现-II：半古典领域
The appearance of particle tracks in detectors -- II: the semi-classical realm
论文作者
论文摘要
研究了一个理想化模型的家族，研究了接近经典轨道的轨道的出现，这些轨道靠近经典的轨道，这些轨道被带电在检测器内传播的带电量子颗粒（例如定期通过光脉冲照亮的腔体）的出现。在半古典制度（当人们考虑高能颗粒的颗粒）时，我们提出了对这一现象的详细，数学上严格的分析。如果颗粒的哈密顿量在位置和动量算子中是二次的，例如在同质外部磁场中自由移动的粒子或粒子的示例，我们显示了粒子的初始粒子的初始状态（例如，粒子的初始状态）是如何被无限型粒子的轨迹和范围的轨迹构成的轨迹，诸如球形对称状态的轨迹和范围的轨迹，以及在轨迹上的轨迹，以及范围内的较大范围，以及范围较大的位置，范围是限制的，范围是属于界限的范围，并且是限制的，并且是限制的范围，并且是属于范围的范围，并且是属于范围的范围，并且是属于界限的范围，并且是属于界限的范围，并且是属于界限的范围。从观察到的粒子轨道重建。
The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is studied for a family of idealized models. In the semi-classical regime, which is reached when one considers highly energetic particles, we present a detailed, mathematically rigorous analysis of this phenomenon. If the Hamiltonian of the particles is quadratic in position- and momentum operators, as in the examples of a freely moving particle or a particle in a homogeneous external magnetic field, we show how symmetries, such as spherical symmetry, of the initial state of a particle are broken by tracks consisting of infinitely many approximately measured particle positions and how, in the classical limit, the initial position and velocity of a classical particle trajectory can be reconstructed from the observed particle track.
