Closed-form polynomial identity of the infinite-well eigenenergies. Setting E_n = π²ℏ²n²/(2mL²) and expanding E_n·2mL² − π²ℏ²n² yields exactly 0 — a literal polynomial zero. Ratio pin: E_2/E_1 = 4 and E_3/E_1 = 9 (n² scaling; canonical…
Closed-form polynomial identity of the infinite-well eigenenergies. Setting E_n = π²ℏ²n²/(2mL²) and expanding E_n·2mL² − π²ℏ²n² yields exactly 0 — a literal polynomial zero. Ratio pin: E_2/E_1 = 4 and E_3/E_1 = 9 (n² scaling; canonical…