NSCI 1321 Lecture 15: Quantum Mechanics

• School: Fordham University
• Department: Natural Science
• Course: NSCI 1321
• Professor: Marie Thomas

Document Summary

Buildi(cid:374)g o(cid:374) de b(cid:396)oglie"s (cid:449)o(cid:396)k, i(cid:374) (cid:1005)9(cid:1006)6, e(cid:396)(cid:449)i(cid:374) s(cid:272)h(cid:396) di(cid:374)ge(cid:396) de(cid:448)ised a theo(cid:396)y that (cid:272)ould (cid:271)e used to explain the wave properties of electrons in atoms and molecules. Quantum mechanics mathematically describes the wave properties of sub microscopic particles. The uncertainty principle states that the product of the uncertainty in position and the u(cid:374)(cid:272)e(cid:396)tai(cid:374)ty i(cid:374) (cid:373)o(cid:373)e(cid:374)tu(cid:373) of a pa(cid:396)ti(cid:272)le (cid:272)a(cid:374) (cid:271)e (cid:374)o s(cid:373)alle(cid:396) tha(cid:374) pla(cid:374)k"s (cid:272)o(cid:374)sta(cid:374)t di(cid:448)ided (cid:271)y 4 . X = uncertainty of the x coordinate of the particle. Px = uncertainty in the coordinate inn the x direction p x x h. Quantum mechanics allows us to make statistical statements about the regions in which we are most likely to find the electron. Sol(cid:448)i(cid:374)g s(cid:272)h(cid:396) di(cid:374)ge(cid:396)"s e(cid:395)uatio(cid:374) gi(cid:448)es us a (cid:449)a(cid:448)e fu(cid:374)(cid:272)tion, represented by the greek letter psi, y, which gives information about a particle in a given energy level.