Particle in a box Step V0 mass length n 數值解 解析解 1 0 1 1 1 4.93 4.935 2 19.7 19.739 3 44.4 44.413 1 4.93 4.935 2 1.23 1.234 3 0.54 0.548 4.93 4.935 2 2.47 2.467 3 1.64 1.645 4.93 4.935 10 14.9 14.935 20 24.9 24.935 2 3 4 0 0 0 1 1 1 1 1 1 1 1 Slanted box Step V0 mass length n 數值解 解析解 1 1 1 1 1 5.44 5.435 2 20.2 20.239 3 44.9 44.913 1 5.43 5.435 2 2.20 2.234 3 1.88 2.048 5.43 5.435 2 2.96 2.967 3 2.14 2.145 4.93 4.935 1 5.43 5.435 2 5.93 5.935 3 6.43 6.436 4 6.93 6.935 5 7.40 7.435 10 9.72 9.935 20 14.4 14.935 30 18.1 19.935 100 40.0 54.935 2 3 4 1 1 0 1 1 1 1 1 1 1 1 Champagne bottle Step V0 mass length n 數值解 解析解 1 1 1 1 1 5.78 5.784 2 20.6 20.588 3 45.3 45.262 1 5.78 5.784 2 2.1 2.083 3 1.4 1.397 5.78 5.784 2 3.3 3.316 3 2.5 2.494 1 4.1 4.086 2 18.9 18.890 3 43.6 43.564 1 4.1 4.086 2 0.4 0.385 3 -0.3 -0.301 4.1 4.086 2 1.6 1.618 3 0.8 0.796 2 3 4 5 6 system 1 1 1 1 -1 -1 -1 V0 Champagne 10 bottle Particle in a box 1 0 1 1 1 1 1 1 1 1 1 mass length n 數值解 解析解 1 1 1 13.38 13.425 2 26.5 28.229 3 51.0 52.903 4 85.0 87.447 1 4.93 4.935 2 19.7 19.739 3 44.4 44.413 4 78.95 78.957 1 1 One-Dimensional egg carton N V0 mass length n 數值解 解析解 8 1 1 1 1 0.8888 1.0493 2 1 1.1974 3 1.16 1.4441 4 1.25 1.7896 5 2.44 2.2337 6 2.88 2.7765 Particle on the ring Step V0 I length n 數值解 解析解 1 0 1 1 1 0.5 0.5 2 2 2 3 4.5 4.5 4 8 8