请将以下零散的代码块合成一个完整的python代码并能正确输出结果:function square_poten_well(x::Vector, N::Int) L = 2 V0 = -1 mat_V = zeros(N, N) for (i, xx) in enumerate(x) if abs(xx) <= L/2 mat_V[i, i] = V0 end end return mat_V end φ(k, x::Vector, N::Int) = [exp(1.0im*k*x[i]) for i in 1:N] function Green_func(k, x::Vector, xp::Vector, N::Int) G = ones(ComplexF64, N, N) for i in 1:N G[i, :] = [-1.0im / k * exp(1.0im*k*abs(x[i]-xp[j]) ) for j in 1:N] end return G end function change_of_var(node, weight, a, b, N) nop = [(b-a) * node[i] / 2.0 + (a+b) / 2.0 for i in 1:N] wp = [(b-a) / 2.0 * weight[i] for i in 1:N] return nop, wp end const N = 298 #节点的个数 const a = -1.5 #积分下限 const b = 1.5 #积分上限 const k_vec = 0.5:1:5.5 # 波数k的取值
时间: 2024-03-08 10:45:55 浏览: 93
实施需求管理:专业软件工具或 PDM 系统的任务?
完整的 Python 代码如下:
```python
import numpy as np
def square_poten_well(x, N):
L = 2
V0 = -1
mat_V = np.zeros((N, N))
for i, xx in enumerate(x):
if abs(xx) <= L/2:
mat_V[i, i] = V0
return mat_V
def phi(k, x, N):
return [np.exp(1.0j*k*x[i]) for i in range(N)]
def Green_func(k, x, xp, N):
G = np.ones((N, N), dtype=complex)
for i in range(N):
G[i, :] = [-1.0j / k * np.exp(1.0j*k*np.abs(x[i]-xp[j])) for j in range(N)]
return G
def change_of_var(node, weight, a, b, N):
nop = [(b-a) * node[i] / 2.0 + (a+b) / 2.0 for i in range(N)]
wp = [(b-a) / 2.0 * weight[i] for i in range(N)]
return nop, wp
N = 298
a = -1.5
b = 1.5
k_vec = np.arange(0.5, 6.0)
x, w = np.polynomial.legendre.leggauss(N)
x = (b-a)/2.0*x + (b+a)/2.0
w = (b-a)/2.0*w
```
这段代码实现了一个计算量子力学问题的数值计算方法。其中 `square_poten_well()` 函数用于计算方势阱的势能矩阵,`phi()` 函数用于计算平面波的波函数,`Green_func()` 函数用于计算格林函数,`change_of_var()` 函数用于变量变换,将区间 $[a,b]$ 上的积分变换到 $[-1,1]$ 上。最后,通过调用 `np.polynomial.legendre.leggauss()` 函数来计算 Legendre-Gauss 积分节点和权重,计算节点 `x` 和权重 `w` 后可以进行数值积分。
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