1) raising and lowering operators
升降算子
1.
Using the factorization method, four kinds of raising and lowering operators of the Landau system (a planer charged particle moving in a uniform magnetic field) are derived and the corresponding selection rules and conserved quantum numbers are discussed.
用因式分解法求出了Ｌａｎｄａｕ体系（带电粒子在垂直于均匀磁场的平面内的运动）的四类升降算子，并讨论了相应的选择定则和守恒量子
2.
In this paper,four kinds of raising and lowering operators of a \$k-\$dimensional isotropic harmonic oscillator are constructed; the corresponding systems of supersymmetric quantum mechanics are further constru cted,and their general form is discussed.
构造了 k维各向同性谐振子的四类升降算子 。
3.
Using the factorization method,four kinds of raising and lowering operators of a charged particle moving in a uniform magnetic field are derived and the corresponding selection rules and conserved quantum numbers are discussed.
用因式分解法求出了带电粒子在垂直于均匀磁场的平面内运动体系的四类升降算子，并讨论了相应的选择定则和守恒量子数
2) raising and lowering operators
升降算符
1.
Normalization coefficients of primary quantum number raising and lowering operators of an Multidimensional hydrogen atom;
多维氢原子主量子数升降算符的归一化系数
2.
Four kinds of raising and lowering operators of the Landau system;
Landau系统四类规范不变的升降算符
3.
They are the methods of angle momentum coupling,linear combination and raising and lowering operators,respectively.
利用了3种不同方法:角动量耦合法、线性组合法和角动量升降算符法,得到了四电子体系的自旋波函数,对构造多电子体系自旋波函数有重要意义。
3) ladder operator
升降算符
1.
Furthermore, the ladder operators are given, which is helpful to the calculation of matrix elements.
重新定义其升降算符,便于求解矩阵元。
4) ladder operator
升、降算符
1.
With recurrence formulas between the eigen functions, ladder operators for one-demensional infinitely deep square potential well are constructed, and the corresponding spectrum-generating algebra is obtained from these ladder operators.
利用本征函数间的递推公式,构造出了一维无限深阱势的升、降算符,并由此得到了相应的谱生成代数。
2.
Using supersymmetric quantum mechanics, ladder operators for a new exactly solvable potential are constructed, and the eigen values and the corresponding eigen functionsare obtained from the ladder operators.
利用超对称性构造出了一种新精确可解势的升、降算符，由升、降算符求出了能量本征值和波函数。
5) The Ascent and Descent of Semigroups of Operators
算子半群的升与降
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条