具有任意初始场态的一维非静态腔体内能量密度的精确解
Exact solution for the energy density inside a one-dimensional non-static cavity with an arbitrary initial field state
摘要：
本文研究了二维时空中具有任意初始场态的非静态腔中无质量实标量场的能量密度的精确解，并考虑了Neumann和Dirichlet边界条件.这项工作推广了Cole和Schieve在Dirichlet边界条件和真空作为初始状态的背景下提出的精确解。我们调查对角状态，检查真空和热场作为特殊情况。我们还以相干态和薛定谔猫态为例，研究了非对角初态。
英文摘要：
We study the exact solution for the energy density of a real massless scalar field in a two-dimensional spacetime, inside a non-static cavity with an arbitrary initial field state, taking into account the Neumann and Dirichlet boundary conditions. This work generalizes the exact solution proposed by Cole and Schieve in the context of the Dirichlet boundary condition and vacuum as the initial state. We investigate diagonal states, examining the vacuum and thermal field as particular cases. We also study non-diagonal initial field states, taking as examples the coherent and Schrodinger cat states.
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