Lecture_08 - PHYS 342 Fall 2010 Lecture Lecture 08: The...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
HYS 342 PHYS 342 Fall 2010 ecture 08: he Schrödinger Wave For the Lecture 08: The Schrödinger Wave For the 1-dimensional Harmonic Oscillator Potential (Parabolic Potential Well) Ron Reifenberger irck anotechnology Center Birck Nanotechnology Center Purdue University Lecture 08 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
Confine a particle of mass m to a armonic oscillator otential well harmonic oscillator potential well 22 1 () 2 o Ux Vx m x    2 / spring o kN m m lassical U(x) Classical Case lassically Allowed Classically Forbidden Classically Forbidden E otal urning Classically Allowed K.E. total Turning point x 0 x o -x o 2
Background image of page 2
Confine a particle of mass m to a harmonic oscillator potential well 22 1 ) () x Vx m x 2 o Ux Quantum U(x) Region I Region II Qu n um Case E allowed = ?? Turning point 3 P(x)=? 0 x o -x o 3
Background image of page 3

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

View Full DocumentRight Arrow Icon
2 22 Write down the Schrödinger Wave Equation 1 () 2 o Ux m x E mx      2 2 2 2 1 ; 2 21 2 oo o o o x xx E m E k   Region I (classically allowed) : 2 2 2 2 1 m x x x m x  Region II (classically forbidden): 2 2 ; 2 2 o o xxEm x E   The solutions to differential equations of this form are known thanks to harles ermite 822 01)
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/08/2011 for the course PHYS 342 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

Page1 / 12

Lecture_08 - PHYS 342 Fall 2010 Lecture Lecture 08: The...

This preview shows document pages 1 - 5. Sign up to view the full document.

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