量子化、群收缩与零点能

二人非零和对策的广义量化方案

Generalized Quantization Scheme for Two-Person Non-Zero-Sum Games

我们提出了一个广义的量化方案的非零和游戏，可以减少到两个现有的量化方案下适当的参数设置。一些其他重要的情况下，是不明显的，在现有的两个量化方案。

The time traveler's guide to the quantization of zero modes

We study the relationship between the quantization of a massless scalar field on the two-dimensional Einstein cylinder and in a spacetime with a time machine. We find that the latter picks out a unique prescription for the state of the zero mode in the Einstein cylinder. We show how this choice arises from the computation of the vacuum Wightman function and the vacuum renormalized stress-energy tensor in the time-machine geometry. Finally, we relate the previously proposed regularization of the zero mode state as a squeezed state with the time-machine warp parameter, thus demonstrating that th…

SU(1,1) 收缩到 Heisenberg-Weyl 群下的恒星秩

Stellar rank under the contraction of SU(1,1) to the Heisenberg-Weyl group

本文研究 SU(1,1) 收缩到 Heisenberg-Weyl 群时 Husimi 函数零点的重分布，确定 stellar rank 的极限行为，证明 rank 上半连续、退化条件及保留最低 2r+3 个振幅的最优性。

Auxiliary quantization constraints on the von Roos ordering-ambiguity at zero binding energies; azimuthally symmetrized cylindrical coordinates

Using azimuthally symmetrized cylindrical coordinates, we report the consequences of zero-energy quantal states on the von Roos Hamiltonian. A position-dependent mass M(ρ,ϕ,z)=bz^{j}ρ^{2\u{psion}+1}/2 is used. We show that the zero-energy setting not only offers an additional degree of freedom towards feasible separability for the von Roos Hamiltonian, but also manifestly yields auxiliary quantized ambiguity parametric constraints.

用于零样本量子学习和贫瘠高原缓解的李代数子空间量化

Lie-Algebraic Subspace Quantization for Zero-Shot Quantum Learning and Barren-Plateau Mitigation

研究针对贫瘠高原现象限制参数化量子电路可扩展性的问题，提出基于李代数子空间量化的分析框架，通过特定方法实现经典到量子参数转移及模型合并，实验验证了该方法在保真度和梯度分辨上的有效性。

热力学量子化、超次级量子化和一个新的变分原理

Quantization of Thermodynamics, Supersecondary Quantization, and a New Variational Principle

在解决找到在零温度下对应于超流性的温度分布的问题时，即，对于非零能量，作者试图解释自由能。这是在超二次量子化的基础上完成的，超二次量子化的特殊情况是玻色子的通常二次量子化，并在超二次量子化的帮助下获得了薛定谔方程的新表示。超二次量子化使作者能够构造一种变分方法，其零点近似是Hartree-Fock和Bogolyubov-BCSCH变分原理。这种方法在粒子数量不多的情况下尤其有效。新的量子化和变分方法具有一般性，可用于量子场论。