Quantum systems and classes

mas/shrodequ_superpos/main.py

@@ -3,19 +3,21 @@ import matplotlib.pyplot as plt
 import numpy as np
 from phys import *
 
-x = np.arange(0, BOX_LENGTH, 0.00001)
-n = np.arange(1, 10, 1)
+quantum_system = box(0.001) # box with inf walls
 
-X, N = np.meshgrid(x, n)
-P = prob(X, N)
-
-fig = plt.figure()
-ax = plt.axes(projection='3d')
-ax.plot_surface(X, N, P, rstride=1, cstride=1, cmap='viridis', edgecolor='none')
-ax.set_xlabel('x [m]')
-ax.set_ylabel('n [int]')
-ax.set_zlabel('probability [frac]');
-
-plt.show()
+# x = np.arange(0, BOX_LENGTH, 0.00001)
+# n = np.arange(1, 10, 1)
+# 
+# X, N = np.meshgrid(x, n)
+# P = prob(X, N)
+# 
+# fig = plt.figure()
+# ax = plt.axes(projection='3d')
+# ax.plot_surface(X, N, P, rstride=1, cstride=1, cmap='viridis', edgecolor='none')
+# ax.set_xlabel('x [m]')
+# ax.set_ylabel('n [int]')
+# ax.set_zlabel('probability [frac]');
+# 
+# plt.show()
 
 

mas/shrodequ_superpos/phys/__init__.py

@@ -1,4 +1,4 @@
 from phys.func import *
 from phys.const import *
-from phys.box import box
+from phys.quantum_systems import *
 from phys.particle import particle

mas/shrodequ_superpos/phys/box.py

@@ -1,9 +0,0 @@
-from phys.particle import particle
-
-class box:
-    def __init__(self, length: float):
-        self.length = length
-
-    def add_particle(pobj: particle):
-        pass
-

mas/shrodequ_superpos/phys/const.py

@@ -13,14 +13,14 @@ def energy(n):
     return (((h*n)/BOX_LENGTH)**2)*(1/(8*m))
 
 # Wave func inner coef
-def k(n):
+def psi_k(n):
     return np.sqrt( (8 * ((np.pi)**2) * m * energy(n))/(h**2) )
 
 # pre calculate energy states
-energy_states = []
+energy_def = []
 for n in range(0, 11):
-    energy_states.append( energy(n) )
+    energy_def.append( energy(n) )
 
-psi_k = []
+psi_k_def = []
 for n in range(0, 11):
-    psi_k.append( k(n) )
+    psi_k_def.append( psi_k(n) )

mas/shrodequ_superpos/phys/func.py

@@ -1,4 +1,3 @@
-import cmath
 import numpy as np
 from phys.const import *
 

mas/shrodequ_superpos/phys/particle.py

@@ -1,11 +1,36 @@
-from phys.func import psi, prob, E
+from phys.func import psi, prob
+from phys.const import energy, psi_k
+from phys.quantum_systems import *
+
+import numpy as np
+import cmath
+from scipy.constants import Planck
 
 class particle:
-    def __init__(self, mass: float, n_state: int):
-        self.mass = mass
-        self.n_state = n_state
+    def __init__(self, mass: float, system: infbox, n_state: int=1):
+        if n_state < 1:
+            print(f"Particle energy state index must be 1 or more! {n_state=}")
+            return
+
+        self.mass = mass # particle mass
+        self.n_state = n_state # energy state index
+        self.system = system # quantum system
+        
+        self.energy = energy(self.n_state) # total energy "for" the particle
+        self.psi_k = psi_k(self.n_state)   # wave function coeff-
+
+        self.system.add_particle(self)
+
+    def psi(self, x: float):
+        return self.system.norm_factor * np.sin(self.psi_k * x)
+
+    def wave(self, x: float, time: float) -> complex:
+        z_coef = -( (2*np.pi*self.energy*time)/Planck ) # exponent coef
+        z = complex(0, z_coef) # full coef (complex)
+        time_factor = cmath.exp(z) # TODO: cmath.exp is weird, verify...
+        psi = self.system.norm_factor * np.sin(self.psi_k * x)
 
-        self.energy = 
+        return psi * time_factor
         
 
 

mas/shrodequ_superpos/phys/quantum_systems.py

@@ -0,0 +1,21 @@
+from phys.particle import particle
+import numpy as np
+
+class quantum_system:
+    def __init__(self, name: str):
+        self.name = name
+        self.particles = []
+
+    def add_particle(particle: particle):
+        self.particles.append(particle)
+        print(f"Added particle {particle} to quantum system '{self.name}'")
+
+class infbox(quantum_system):
+    def __init__(self, length: float):
+        super
+        self.name = "Inf Box"
+        self.length = length
+        self.norm_factor = np.sqrt(2/self.length)
+
+
+