{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

05_02_28 - [email protected]/28/2005 Time...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: [email protected] 57 02/28/2005 Time dependence of quantum states ⇒ Φ = Ψ- t i n n E e x t x ) ( ) , ( Stationary states satisfy the time independent Schrödinger equation. The probability distribution is constant in time: and can therefore not describe moving particles 2 2 ) ( x Φ = Ψ A linear combination of stationary states satisfies the time dependent Schrödinger equation and leads to time dependent probability distributions: ] Re[ 2 | | | | .) . ( | | | | ) )( ( | | ) ( ) ( ) , ( * 2 2 * 2 2 * * 2 t i m n m n t i m n m n t i m t i n t i m t i n t i m t i n m E n E m E n E m E n E m E n E m E n E e C C e e e e e e x e x t x ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡-- Φ Φ + Φ + Φ = + Φ Φ + Φ + Φ = Φ + Φ Φ + Φ = Ψ Φ + Φ = Ψ---- ) ( ) ( ) ( ) ( 2 2 2 2 x E x x V x x m Φ = Φ + Φ- ∂ ∂ ¢ [email protected] 58 02/28/2005 Time dependent states in an infinite well t i t i E E e x A e x t x 1 ) ( ) ( ) , ( 1 1-- Φ + Φ ∝ Ψ ∑ =- Φ = Ψ 8 )...
View Full Document

{[ snackBarMessage ]}

Page1 / 6

05_02_28 - [email protected]/28/2005 Time...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online