Snyder非对易性和来自约旦扭曲的伪厄米哈密顿量
Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist
摘要：
非相对论性量子力学和共形量子力学通过约旦扭曲变形。变形后的空间坐标满足Snyder非对易性。由此产生的变形哈密顿量是Mostafazadeh讨论的类型的伪厄米哈密顿量。量化方案利用了在以前的作品中讨论的所谓的“展开形式主义”。一个Hopf代数结构，兼容的物理解释的余积，介绍了一个适当选择的动力李代数（哈密顿量包含在其生成元）的通用包络代数。由变形的2-粒子哈密顿量唯一确定的多粒子扇区由玻色粒子组成。
英文摘要：
Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The resulting deformed Hamiltonians are pseudo-Hermitian Hamiltonians of the type discussed by Mostafazadeh. The quantization scheme makes use of the so-called "unfolded formalism" discussed in previous works. A Hopf algebra structure, compatible with the physical interpretation of the coproduct, is introduced for the Universal Enveloping Algebra of a suitably chosen dynamical Lie algebra (the Hamiltonian is contained among its generators). The multi-particle sector, uniquely determined by the deformed 2-particle Hamiltonian, is composed of bosonic particles.
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