{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

05_03_04 - 72 Two quantum particles | x1 x2 |2 dx1dx2 for...

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

View Full Document Right Arrow Icon
[email protected] 72 03/04/2005 Two quantum particles Finding the probability to have particle 1 in the interval [x 1 ,x 1 +dx 1 ] and finding particle 2 in [x 2 ,x 2 +dx 2 ] for example in a diatomic molecule. 2 1 2 2 1 | ) , ( | dx dx x x Φ ) , ( ) , ( ) ( ) , ( ) , ( 2 1 2 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 1 2 1 2 x x E x x x x V x x x x x m x m Φ = Φ - + Φ - Φ - ) , ( ) ( ) , ( ) ( ) , ( ) , ( ) ( ) , ( ) ( ) , ( 2 1 2 2 1 2 1 2 1 2 2 1 1 2 1 2 1 2 1 2 2 2 2 2 2 2 1 2 1 2 x x E E x x x x V x x x x E E x x x x V x x kin pot x m kin pot x m Φ + = Φ - + Φ - Φ + = Φ - + Φ - For a fixed total energy E one obtains for fixed x 2 fixed x 1 Schrödinger equation for two particles is now replaced by and is replaced by in the energy equation 1 p 1 x i - ! 2 p 2 x i - ! E V m p m p = + + 2 2 2 1 2 1 2 2 2 1 kin kin pot E E E E + + =
Background image of page 1

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

View Full Document Right Arrow Icon
[email protected] 73 A diatomic molecule therefore has a de Broglie wavelength that corresponds to the total mass and to the energy of the center of mass system.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}