p-Adic and adelic harmonic oscillator with a time-dependent frequency
p-Adic and adelic harmonic oscillator with a time-dependent frequency
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频率依赖于时间的 p-Adic 和 adelic 谐振子
DOI：
10.1007/bf02551077
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发表时间：
2000
影响因子：
1
通讯作者：
B. Dragovich
中科院分区：
文献类型：
--
作者：
Goran S. Djordjevic;B. Dragovich
建立了频率依赖于时间的p-adic和adelic谐振子的经典和量子形式，得到了主要理论量的一般公式。特别地，我们计算了p-adic传播子，并证明了简单真空态的存在性和奇异量子动力学。注意到空间离散性和p-adic量子力学相位。
The classical and quantum formalism for a p-adic and adelic harmonic oscillator with a time-dependent frequency is developed, and general formulas are obtained for the main theoretical quantities. In particular, the p-adic propagator is calculated, and the existence of a simple vacuum state as well as adelic quantum dynamics is shown. A spatial discreteness and a p-adic quantum mechanical phase are noted.