标题： Klein-Gordon 和 Schrödinger 解在 Lovelock 量子引力中 显示英文标题

标题： Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity

摘要： 本研究探讨了波函数在洛弗洛克引力框架下求解克莱因-戈登方程和薛定谔方程的各种应用。 我们还给出了从拓扑密度推导出的史马尔公式。 克莱因-戈登解导致 Wheeler-de Witt 哈密顿量和准正则模态，并我们在施瓦茨希尔德极限内展示了势能与黑洞温度之间的联系。 此外，我们讨论了薛定谔方程的不同解，其中一个解突显了艾里解对波函数随时间演化的影响。 显示英文摘要

摘要： This study investigates the application of wave functions to explore various solutions of the Klein-Gordon and Schr\"{o}dinger equations within the framework of Lovelock gravity. We also present the derived Smarr formula from the topological density. The Klein-Gordon solution leads to the Wheeler-de Witt Hamiltonian and quasinormal modes, and we demonstrate the connection between the potential and the black hole temperature within the Schwarzschild limit. Additionally, we discuss different solutions of the Schr% \"{o}dinger equation, with one solution highlighting the influence of the Airy solution on the wave function's evolution over time.