PHYS 30101 Quantum Mechanics PHYS 30101 Quantum Mechanics Dr Jon Billowes Nuclear Physics Group (Schuster Building, room 4.10)

Slides:

Advertisements

Similar presentations

Physical Chemistry 2nd Edition

Advertisements

Commutator Algebra.

Commutators and the Correspondence Principle Formal Connection Q.M.Classical Mechanics Correspondence between Classical Poisson bracket of And Q.M. Commutator.

Integrals over Operators

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

Wavefunction Quantum mechanics acknowledges the wave-particle duality of matter by supposing that, rather than traveling along a definite path, a particle.

PHYS Quantum Mechanics “the dreams stuff is made of” PHYS Quantum Mechanics “the dreams stuff is made of” Dr Jon Billowes Nuclear Physics Group.

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

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

Overview of QM Translational Motion Rotational Motion Vibrations Cartesian Spherical Polar Centre of Mass Statics Dynamics P. in Box Rigid Rotor Spin Harmonic.

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

Overview of QM Translational Motion Rotational Motion Vibrations Cartesian Spherical Polar Centre of Mass Statics Dynamics P. in Box Rigid Rotor Angular.

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

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

I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=

PHYS Quantum Mechanics

PHYS Quantum Mechanics PHYS Quantum Mechanics Dr Gavin Smith Nuclear Physics Group These slides at:

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

P460 - math concepts1 General Structure of Wave Mechanics (Ch. 5) Sections 5-1 to 5-3 review items covered previously use Hermitian operators to represent.

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

PHYS Quantum Mechanics PHYS Quantum Mechanics Dr Sean Freeman Nuclear Physics Group These slides at:

QM Review. Outline Postulates of QM Expectation Values Eigenfunctions & Eigenvalues Where do we get wavefunctions from? –Non-Relativistic –Relativistic.

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

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

I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=

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

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

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

Chap 3. Formalism Hilbert Space Observables

Lecture 2. Postulates in Quantum Mechanics Engel, Ch. 2-3 Ratner & Schatz, Ch. 2 Molecular Quantum Mechanics, Atkins & Friedman (4 th ed. 2005), Ch. 1.

Lecture 6: Operators and Quantum Mechanics The material in this lecture covers the following in Atkins The informtion of a wavefunction (c) Operators.

Physics 451 Quantum mechanics I Fall 2012 Oct 17, 2012 Karine Chesnel.

Too Many to Count.

Postulates Postulate 1: A physical state is represented by a wavefunction. The probablility to find the particle at within is. Postulate 2: Physical quantities.

Ch 3. The Quantum Mechanical Postulates

1 The Mathematics of Quantum Mechanics 2. Unitary and Hermitian Operators.

CHAPTER 2 Schrodinger Theory of Quantum Mechanics.

1 The Mathematics of Quantum Mechanics 3. State vector, Orthogonality, and Scalar Product.

Modern Physics (II) Chapter 9: Atomic Structure

School of Mathematical and Physical Sciences PHYS August, PHYS1220 – Quantum Mechanics Lecture 4 August 27, 2002 Dr J. Quinton Office: PG.

PHY 520 Introduction Christopher Crawford

PHYS 3313 – Section 001 Lecture #18

Chapter 5: Quantum Mechanics

Introduction to Quantum Mechanics

Lecture 5: Eigenvalue Equations and Operators The material in this lecture covers the following in Atkins The informtion of a wavefunction (b) eigenvalues.

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

Nanoelectronics Chapter 3 Quantum Mechanics of Electrons

Lecture 7: Expectation Values The material in this lecture covers the following in Atkins The informtion of a wavefunction (d) superpositions and.

Postulates Postulate 1: A physical state is represented by a wavefunction. The probablility to find the particle at within is. Postulate 2: Physical quantities.

Principles of Quantum Mechanics P1) Energy is quantized The photoelectric effect Energy quanta E = h  where h = J-s.

1 Reading: QM Course packet – Ch 5 BASICS OF QUANTUM MECHANICS.

Q. M. Particle Superposition of Momentum Eigenstates Partially localized Wave Packet Photon – Electron Photon wave packet description of light same.

Properties of Hermitian Operators

Quantum Mechanics of Angular Momentum

The Postulates and General Principles

Molecular Structure & Energy Levels

Do all the reading assignments.

Quantum mechanics I Fall 2012

Last hour: If every element of state space can be expanded in one (and only one) way in terms of a set of countable, orthonormal functions uj , we call.

The Stale of a System Is Completely Specified by lts Wave Function

Shrödinger Equation.

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

Concept test 14.1 Is the function graph d below a possible wavefunction for an electron in a 1-D infinite square well between

Solving Equations 3x+7 –7 13 –7 =.

Linear Vector Space and Matrix Mechanics

Linear Vector Space and Matrix Mechanics

Introductory Quantum Mechanics/Chemistry

Reading: Chapter 1 in Shankar

f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6

Presentation transcript:

PHYS Quantum Mechanics PHYS Quantum Mechanics Dr Jon Billowes Nuclear Physics Group (Schuster Building, room 4.10) These slides at: Lecture 6

Plan of action 1.Basics of QM 2.1D QM Will be covered in the following order: 1.1 Some light revision and reminders. Infinite well 1.2 TISE applied to finite wells 1.3 TISE applied to barriers – tunnelling phenomena 1.4 Postulates of QM (i) What Ψ represents (ii) Hermitian operators for dynamical variables (iii) Operators for position, momentum, ang. Mom. (iv) Result of measurement 1.5 Commutators, compatibility, uncertainty principle 1.6 Time-dependence of Ψ

Hermitian Operators They have real eigenvalues Eigenfunctions are orthonormal Eigenfunctions form a complete set