Quantum mechanics I Fall 2012 Physics 451 Quantum mechanics I Fall 2012 Sep 28, 2012 Karine Chesnel

Homework this week: HW # 8 due Friday Sep 28 by 5pm Quantum mechanics Announcements Homework this week: HW # 8 due Friday Sep 28 by 5pm Homework next week: HW # 9 due Tuesday Oct 2 by 7pm HW # 10 due Thursday Oct 4 by 7pm

Bound and Scattering states Ch 2.5 Quantum mechanics Bound and Scattering states V(x) x In physical reality: Scattering state Bound state

The Dirac delta function Ch 2.5 Quantum mechanics The Dirac delta function for for

The delta function potential Ch 2.5 Quantum mechanics The delta function potential For

The delta function potential Ch 2.5 Quantum mechanics The delta function potential Continuity at boundaries is continuous is continuous except where V is infinite

The delta function Well Ch 2.5 Quantum mechanics The delta function Well For

The delta function well Ch 2.5 Quantum mechanics The delta function well Bound state

Quiz 12a None One Two An infinity Quantum mechanics How many bound states can be found for a given delta function well potential? None One Two An infinity

The delta function well Ch 2.5 Quantum mechanics The delta function well Scattering state

Quiz 12b None One Two An infinity Quantum mechanics How many scattering states can be found for a given delta function well potential? None One Two An infinity

The delta function well Ch 2.5 Quantum mechanics The delta function well Scattering state x Travelling waves A B F G Continuity at boundary (A,B, F,G) ?

The delta function well Ch 2.5 Quantum mechanics The delta function well Scattering state A F B x Travelling waves Reflected wave Transmitted wave

The delta function well Ch 2.5 Quantum mechanics The delta function well Scattering state A F B x Reflection coefficient Transmission coefficient

The delta function potential Ch 2.5 Quantum mechanics The delta function potential Scattering state

The delta function barrier Ch 2.5 Quantum mechanics The delta function barrier Scattering state only A F B x “Tunneling” Reflection coefficient Transmission coefficient