论文标题
结合粒子的相对论势能（非疾病相对论谐波振荡器）
Relativistic potential energy of a bound particle (Non-dissipative relativistic harmonic oscillator)
论文作者
论文摘要
爱因斯坦相对论能量对自由粒子的众所周知的关系被扩展，以通过计算相对论势能来覆盖结合粒子的总相对论能量。非耗散谐波振荡器（NDHO）是一个基本结合系统。因此，NDHO的势能首次从非相对论到相对论方案进行分析扩展。这项研究本质上与相对论质量有关，其中洛伦兹因子将ndho的二阶微分方程的状态从线性变为非线性。最终通过证明节能来确认结果，因为在非相对论和相对论方案中，动能和势能的总和保持恒定。
The well known relation of Einstein relativistic energy for a free particle is extended to cover the total relativistic energy of a bound particle by calculating the relativistic potential energy. A non dissipative harmonic oscillator (NDHO) is a fundamental bound system. Therefore, the potential energy of an NDHO is analytically extended from the non relativistic to the relativistic regime for the first time. This study is essentially concerned with the relativistic mass, where the Lorentz factor transforms the state of the second-order differential equation of an NDHO from linear into nonlinear. The results are finally confirmed by demonstrating energy conservation since the sum of kinetic and potential energies remains constant throughout the non relativistic and relativistic regimes.
