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STM image of 48 Iron atoms arranged on the surface of a copper crystal. Quantum Mechanics – Particles confined to boxes

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Page 1: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0

STM image of 48 Iron atoms arranged on the surface of a copper crystal.

Quantum Mechanics – Particles confined to boxes

Page 2: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0

M.F. Crommie, C.P. Lutz, D.M. Eigler. Confinement of electrons to quantum corrals on a metal surface. Science 262, 218-220 (1993).

http://www.almaden.ibm.com/vis/stm/library.html#ref2

Page 3: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 4: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 5: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 6: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0

Question

• In the 2-D square potential which energy eigen value is not allowed:

• A: 17 E0

• B: 18 E0

• C: 19 E0

• D: 20 E0

Page 7: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0

Question

• In the 2-D square potential which energy eigen value is not allowed:

• A: 17 E0 1,4

• B: 18 E0 3,3

• C: 19 E0

• D: 20 E0 2,4

Page 8: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 9: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0

Question

What is are the allowed quantum numbers for the E=50E0 state?

Page 10: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0

Question

What is are the allowed quantum numbers for the E=50E0 state?

7,1 and 5,5

Page 11: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 12: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 13: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 14: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 15: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 16: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 17: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 18: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0
Page 19: Quantum Mechanics –Particles confined to boxesinside.mines.edu › ~lwiencke › PH300 › F13 › quantum › L21-post.pdfWhat is are the allowed quantum numbers for the E=50E 0