Quantum mechanics I Fall 2012

Slides:

Advertisements

Similar presentations

Quantum Phenomena II: Revision Quantum Phenomena II: Revision Chris Parkes April/May 2003  Hydrogen atom Quantum numbers Electron intrinsic spin  Other.

Advertisements

1a) A crest from one source arrives at the same time as a trough from the other and destructively interfere with each other. 1b) p.d. = 0.5 λ = 0.4 m λ.

Physics 452 Quantum mechanics II Winter 2012 Karine Chesnel.

P460 - Spin1 Spin and Magnetic Moments (skip sect. 10-3) Orbital and intrinsic (spin) angular momentum produce magnetic moments coupling between moments.

P460 - Spin1 Spin and Magnetic Moments Orbital and intrinsic (spin) angular momentum produce magnetic moments coupling between moments shift atomic energies.

Chap 12 Quantum Theory: techniques and applications Objectives: Solve the Schrödinger equation for: Translational motion (Particle in a box) Vibrational.

PHYS Quantum Mechanics PHYS Quantum Mechanics Dr Jon Billowes Nuclear Physics Group (Schuster Building, room 4.10)

Physics 452 Quantum mechanics II Winter 2011 Karine Chesnel.

Physics 452 Quantum mechanics II Winter 2012 Karine Chesnel.

ConcepTest #72 Look at the potential well sketched to the right. A particle has energy E which is less than the energy of the barrier U 0 located at 5.

The Quantum Mechanical Picture of the Atom

A bit on quantum mechanics and atomic physics Physics 114 Spring 2004 – S. Manly References and photo sources: K. Krane, Modern Physics, John Wiley and.

Spin-Orbit Effect In addition to its motion about the nucleus, an electron also has an intrinsic angular momentum called “spin” similar to the earth moving.

Elementary particles atom Hadrons Leptons Baryons Mesons Nucleons

P460 - Spin1 Spin and Magnetic Moments (skip sect. 10-3) Orbital and intrinsic (spin) angular momentum produce magnetic moments coupling between moments.

Physics 451 Quantum mechanics I Fall 2012 Nov 12, 2012 Karine Chesnel.

18th Annual World Congress on Anti-Aging Medicine and Regenerative Biomedical Technologies December 9 – 12, 2010 December 9 – 12, 2010 Mandalay Bay Hotel.

Vector coupling of angular momentum. Total Angular Momentum L, L z, S, S z J and J z are quantized Orbital angular momentumSpin angular momentum Total.

Spin and Atomic Physics 1. HW 8, problem Quiz Topics in this chapter:  The spin and the Stern-Gerlach experiment.  Fermion, Boson and.

ATOMIC PHYSICS Dr. Anilkumar R. Kopplkar Associate Professor

Physics 451 Quantum mechanics I Fall 2012 Nov 5, 2012 Karine Chesnel.

Physics 451 Quantum mechanics I Fall 2012 Nov 7, 2012 Karine Chesnel.

Physics 451 Quantum mechanics I Fall 2012 Sep 12, 2012 Karine Chesnel.

Chapter 35 Quantum Mechanics of Atoms. S-equation for H atom 2 Schrödinger equation for hydrogen atom: Separate variables:

Physics 451 Quantum mechanics I Fall 2012 Nov 20, 2012 Karine Chesnel.

Protons and Neutrons form a nucleus.. Electrons Atomic Number and Mass Number Atomic Number Is the Number of Protons of the Nucleus.

Chapter 9 Spin. Total angular momentum Let us recall key results for the total angular momentum 6.B.2 6.C.1.

Physics 1202: Lecture 34 Today’s Agenda Announcements: Extra creditsExtra credits –Final-like problems –Team in class –Teams 5 & 6 HW 10 due FridayHW 10.

 All elementary particles in physics are classified as either fermions or bosons. Quantum physics demonstrates the particles may have an intrinsic non-zero.

Physics 1202: Lecture 36 Today’s Agenda Announcements: Extra creditsExtra credits –Final-like problems –Team in class –Teams 8, 9 & 10 HW 10 due Friday.

PHL424: Nuclear angular momentum

PHYS 3313 – Section 001 Lecture #19

LECTURE 9 Chasing Relativistic Particles

Magnetic Dipoles and Angular Momenta

Physics 1202: Lecture 35 Today’s Agenda

Countries that signed the nuclear arms treaty with Iran

Quantum mechanics I Fall 2012

Spin and Magnetic Moments

Chapter 4 Quantum Mechanics in 3D.

Chapter 7 Atomic Physics.

Quantum mechanics I Fall 2012

Quantum mechanics I Fall 2012

Quantum mechanics I Fall 2012

Quantum mechanics I Fall 2012

Chapter 9 Spin.

Quantum Mechanical View of Atoms

Quantum mechanics I Fall 2012

Spin and Magnetic Moments (skip sect. 10-3)

More on Magnetic Moments

Electron Orbitals Heisenberg 1. The ____________ ______________ principle states that it is impossible to determine simultaneously both the position and.

Quantum mechanics I Fall 2012

Pauli Paramagnetism.

Quantum mechanics I Fall 2012

Consider the He atom. The Hamiltonian is

Bound Systems and Spectra

Quantum mechanics I Fall 2012

Quantum mechanics I Fall 2012

Quantum mechanics I Fall 2012

16. Angular Momentum Angular Momentum Operator

PHY 741 Quantum Mechanics 12-12:50 AM MWF Olin 103

“Addition” of angular momenta – Chap. 15

Addition of Angular Momentum

Physics 3313 – Review 2 Wednesday May 5, 2010 Dr. Andrew Brandt

Consider a PIB with a sloped bottom. You want to try perturbation

Quantum mechanics I Fall 2012

LECTURE 12 SPINS Source: D. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 2004) R. Scherrer, Quantum Mechanics An Accessible Introduction.

LECTURE 11 SPINS.

Quantum mechanics II Winter 2012

Presentation transcript:

Quantum mechanics I Fall 2012 Physics 451 Quantum mechanics I Fall 2012 Nov 16, 2012 Karine Chesnel

Homework this week: HW #20 Thursday Nov 17 by 10pm Quantum mechanics Announcements Homework this week: HW #20 Thursday Nov 17 by 10pm Pb 4.27, 4.28, 4.29, 4.33, 4.34, 4.35 Practice Test 3 review Mon Nov 19 – Tu Nov 20 Test 3 : Monday Nov 26 – Friday Nov 30

Quantum mechanics The Spin Types of angular momentum orbital spin

Agular moment in the atom Quantum mechanics Agular moment in the atom Orbital moment (l) Spin moment (s) Representation of

Spin in elementary particles Quantum mechanics Spin in elementary particles Each elementary particle is characterized by an immutable spin S Fermions: (S half-integer) Bosons: (S integer) S=1/2 Leptons: electrons,… Quarks: u,b,c,s,t,b Proton, neutron Photon S=1 Mesons

Quantum mechanics The spin

Quantum mechanics The spin

Quantum mechanics The spin 1/2 Spin up Spin down The “spinor”

Quantum mechanics Pauli matrices Pb 4.29

State of the electron Pb 4.27, 4.28, 4.29 Quantum mechanics Normalization Expectation values etc… Pb 4.27, 4.28, 4.29

When measuring Sx on an electron, what are the possible results? Quantum mechanics Quiz 29a When measuring Sx on an electron, what are the possible results? A. 0 B. D. E.

Quantum mechanics Adding spins Possibilities for two spins 1/2

Quantum mechanics Adding spins 1/2 Triplet possibilities Singlet

Adding spins 1/2 Triplet Singulet Quantum mechanics Magnitude of the spin momentum ? Triplet Singulet

Adding spins S Pb 4.34, 4.35 Quantum mechanics Possible values for S: Clebsch- Gordan coefficients Pb 4.34, 4.35

Quantum mechanics Clebsch- Gordan coefficients

What is the value of the Clebsch-Gordan coefficient ? Quantum mechanics Quiz 29b What is the value of the Clebsch-Gordan coefficient ? A. B. D. E.

The spin and magnetic field Quantum mechanics The spin and magnetic field S

The spin and magnetic field Quantum mechanics The spin and magnetic field S B

Larmor precession B S Pb 4.32 Larmor frequency Quantum mechanics z a y x y S Pb 4.32 Larmor frequency

Stern-Gerlach experiment Quantum mechanics Stern-Gerlach experiment z B S Moves down Moves up