]> permondes.de Git - Analog_Engine.git/blame - scripts/TP1 10.29 Two masses fixed to walls.LACE
Quantum Well
[Analog_Engine.git] / scripts / TP1 10.29 Two masses fixed to walls.LACE
CommitLineData
56968557
P
1# TP1 10.29 Two Masses fixed to walls
2# Two equal masses m are connected to each other by a spring (spring constant D) and on either side to a fixed wall.
3
4# m*s1'' + 2D*s1 - D*s2 = 0 => s1'' = -D/m*s1 -D/m*s1 + D/m*s2
5# m*s2'' + 2D*s1 - D*s1 = 0 => s2'' = -D/m*s2 -D/m*s2 + D/m*s1
6
7coefficient(1): D/m_1 # D/m for s1
8coefficient(2): D/m_2 # D/m for s2, identical to D/m_1
9coefficient(3): -1 -> -s1_0 # initial position of s1
10coefficient(4): -1 -> -s2_0 # initial position of s2
11
12iintegrate -D/m*s1, -D/m*s1, D/m*s2 -> -s1' # input is s1''
13iintegrate -s1' -> s1
14 IC: -s1_0
15s1 * D/m_1 -> D/m*s1
16invert D/m*s1 -> -D/m*s1
17
18iintegrate -D/m*s2, -D/m*s2, D/m*s1 -> -s2' # input is s2''
19iintegrate -s2' -> s2
20 IC: -s2_0
21s2 * D/m_2 -> D/m*s2
22invert D/m*s2 -> -D/m*s2
23
24output(x): s1
25output(y): s2