波函数的几描述有三种基本方式

1、波函数的几何描述有三种基本方式.概率密度云例如粒子处在r附近体元dxdydz内的概率为| dxdydz我们可以在r附近体元dxdydz内随机打上n(r)个点，其中2n(r) A dxd ydzA为固定参数或总点数.等概率密度面如果让计算机把满足下面条件的点找由来，是一件十分简单 的事。I (r, , )|2 C其中C为常数我们称这些点的集合为等概率密度面，实际操作时C要取一范围，如从C到C+0.1 ,否则等概率密度面画不由来。.概率密度幅波用一个三维的格点组作为球心，取一小量 r为球半径，球内 随机洒上一些点，点数目与Re( nim) 成正比，我们就可以得到氢原子的概率密度幅分布。氢原子的概率

2、密度幅分布卜面是学生拓展设计制作的例子氢原子的电子云图氢原子电子云的二维截面图等概率密度面氧原子的等概率密度面氢原子的等It率密展面氢分子的成键电荷密度分布三维无限深阱电子云图司电子等鞋率峦度再参考源程序：(1)概率密度波源程序,const floatstatic float theta, phi;void userDrawDBall(const POINT3F &PD, const float R, const float BaseNum,RGB &clrPts)float r;POINT3F Pt;int CntPts = BaseNum * exp(D);if (CntPts = 0)

3、CntPts = fabs(CntPts);for (int i = 0; i CntPts; i+)theta = Pi*(rand()/255.0-0.5);phi = 2*Pi*rand()/255.0;r = R;/ * rand()/255.0;Pt.x = P .x + r * sin(theta)*cos(phi);Pt.y = P .y + r * sin(theta)*sin(phi);Pt.z = P .z + r * cos(theta);CDrawPoints( &Pt, 1, &clrPts);const int VecGridCount_X = 40;/ 矩形格子x

4、 方向格点密度const int VecGridCount_Y = 40;/ 矩形格子y 方向格点密度const int VecGridCount_Z = 40;/ 矩形格子 z 方向格点密度static floatDVecGridCount_XVecGridCount_YVecGridCount_Z;static POINT3FPtVecGridCount_XVecGridCount_YVecGridCount_Z;void demowindow:S_Picture1()Lng_a = 150; / 矩形格子x 方向长度Lng_b = 150;/矩形格子y 方向长度Lng_c = 150;矩

5、形格子z方向长度static float x,y,z,T;int i,j,k,m;float Max_D = -1E6, Min_D = 1E6;SetLineWidth(3);DisableLight();POINT3F tpPt;float tmp_x, tmp_y;T=S_Step;for (m=0;mVecGridCount_X; m+)tmp_xLng_a*m/(VecGridCount_X-1)-0.5*Lng_a;for(j=0;jVecGridCount_Y;j+)tmp_yLng_b*j/(VecGridCount_Y-1)-0.5*Lng_b;for(k=0;kVecGri

6、dCount_Z;k+)Ptmjk.x = tmp_x;Ptmjk.y = tmp_y;Ptmjk.z=Lng_c*k/(VecGridCount_Z-1)-0.5*Lng_c;static POINT3F Evec;Dmjk,static POINT3F Hvec;userGetDValue(Ptmjk,S_Step/5,1E5, 0.5E4,T);if (Max_D Dmjk) Min_D = Dmjk;bCalculated+;const float BaseNum = 10; / 密度球内点的基数const float Ball_R = 3.5;/ 密度球半径DisableLight(

7、);float D_Range = Max_D - Min_D;for (m =0; mVecGridCount_X; m+)for(j =0; jVecGridCount_Y; j+)for( k=0; k0) clrBallPts.r = tmpF;clrBallPts.g = tmpF;clrBallPts.b = tmpF;else clrBallPts.r = tmpF;clrBallPts.g = tmpF;clrBallPts.b = 0;userDrawDBall(Ptmjk,Dmjk,BaseNum,clrBallPts);RGB clrText;clrText.r = 25

8、5; clrText.g = 255; clrText.b = 255;DrawHZCharacter(80,-70,90,FBOTTOM,word,clrText);( 2 )等概率密度面源程序void demowindow:S_Picture1()int i,j,n;Ball_R,FCENTER,float V,x,y,z,r,a,b,d,R;float PI=3.14,c=0.15;char buf100;POINT3F p,q;RGB color,color1;DIRECT direction;direction.alpha=0;direction.beta=0;color.r=20;

9、color.g=140;color.b=200;color1.r=0;color1.g=0;color1.b=0;for(i=0;i311;i+)x=i;for(n=-308;n308;n+)z=n;r=sqrt(x*x+z*z);if(r0.01) r=0.01;a=acos(z/r);d=0.05*r;V=0.7*pow(6-d),2)*pow(d,4)*exp(-1*d)*pow(sin(a) *cos(a),2);if(fabs(V-c)0.005)for(j=0;j71;j+)b=j*PI/35;x=r*sin(a)*cos(b);y=r*sin(a)*sin(b);z=r*cos(a);p.x=0.1*P_radius*x/3.4;p.y=0.1*P_radius*y/3.4;p.z=0.1*P_radius*z/3.4;EnableLight();CDrawPoints(&p,1,&color);DrawHZCharacter(70,-60,98,FCENTER,FBOTTOM,word,color1);sprintf(buf,n=4,l=2,m=1);LoadHZCharacter24(S_FONT