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SYSTEM AND METHOD FOR DETERMINING A PERTURBATION ENERGY OF A QUANTUM STATE OF A MANY-BODY SYSTEM

机译:用于确定许多身体系统的量子状态的扰动能量的系统和方法

摘要

A method for determining a perturbation energy of a quantum state of a many-body system includes constructing a wave function that approximates the quantum state by adjusting parameters of the wave function to minimize an expectation value of a zeroth-order Hamiltonian. The zeroth-order Hamiltonian explicitly depends on a finite mass of each of a plurality of interacting quantum particles that form the many-body system, the quantum state has a non-zero total angular momentum, the wave function is a linear combination of explicitly correlated Gaussian basis functions, and each of the explicitly correlated Gaussian basis functions includes a preexponential angular factor. The perturbation energy is calculated from the wave function and a perturbation Hamiltonian that explicitly depends on the finite mass of each of the plurality of interacting quantum particles. The perturbation energy may be added to the minimized expectation value to obtain a total energy of the quantum state.
机译:用于确定许多身体系统的量子状态的扰动能量的方法包括通过调整波函数的参数来构造近似量子状态的波函数,以最小化Zeroth哈米尔顿人的期望值。 Zeroth ramiltonian明确地取决于形成许多体系的多个相互作用量子粒子中的每一个的有限质量,量子状态具有非零总角度的势力,波函数是明确相关的线性组合 高斯基础函数,并且每个明确相关的高斯基础函数包括预先表达角度因子。 从波函数和扰动捕获能量计算扰动能量,从而明确取决于多个相互作用量子颗粒中的每一个的有限质量。 可以将扰动能量添加到最小化预期值以获得量子状态的总能量。

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