SNEG – Mathematica package for symbolic calculations with second-quantization-operator expressions

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

Abstract
In many-particle problems involving interacting fermions or bosons, the most natural language for expressing the Hamiltonian, the observables, and the basis states is the language of the second-quantization operators. It thus appears advantageous to write numerical computer codes which allow the user to define the problem and the quantities of interest directly in terms of operator strings, rather than in some low-level programming language. Here I describe a Mathematica package which provide...

Title of program: SNEG
Catalogue Id: AEJL_v1_0

Nature of problem
Manipulation of expressions involving second quantization operators and other non-commuting objects. Calculation of commutators, anticommutators, expectation values. Generation of matrix representations of the Hamiltonians expressed in the second quantization language.

Versions of this program held in the CPC repository in Mendeley Data
AEJL_v1_0; SNEG; 10.1016/j.cpc.2011.05.013

本程序源自贝尔法斯特女王大学（Queen's University Belfast）馆藏的CPC程序库（1969-2018）。

摘要
在涉及相互作用费米子（fermion）或玻色子（boson）的多体问题中，用于表达哈密顿量（Hamiltonian）、可观测量与基态的最自然语言当属二次量子化算子（second-quantization operator）语言。因此，相较于使用底层编程语言，编写允许用户直接通过算子字符串定义问题与目标物理量的数值计算机代码显然更具优势。本文将介绍一款Mathematica软件包，其提供……

程序名称：SNEG
目录编号：AEJL_v1_0

问题性质
处理包含二次量子化算子与其他非交换对象的表达式，计算对易子、反交换子与期望值，并生成以二次量子化语言表达的哈密顿量的矩阵表示形式。

Mendeley数据中的CPC库馆藏本程序版本：
AEJL_v1_0; SNEG; 10.1016/j.cpc.2011.05.013