Basics of quantum and wave mechanics for engineers
This is a brief discription of the course
520.457, Basics of Quantum and Wave Mechanics for Engineers
taught by
Prof. Alexander Kaplan
at
Elect. & Computer Eng. Dept.
of JHU
Catalog Data:
Topics include brief review of
classical mechanics of particles and waves;
"derivation" of Schroedinger equation;
the quantum theory of simplest
systems, in particular atoms and engineered
quantum wells, the interaction of radiation and atomic systems,
and examples of application of the quantum theory
to lasers and solidstate devices.
Credit hours for each Part: 3
Prerequisite: general introphysics; math: differential eqns
171.101102; 520:219220; 11:302
Instructor:
Prof. Alexander Kaplan
ECE; Barton Hall, #304, ph 7018
Text: class notes handed out by instructor.
See the table of contents for the first part
Supplemental recommended text:
P. L. Hagelstein, S. D. Senturia,
T. P. Orlando,
Introductory Applied Quantum and Statistical Mechanics
,
Wiley, 2004;
Also recommended:
R. L. Libov,
Introduction to Quantum Mechanics ,
AddisonWesley, 1992; W. Greiner,
Quantum Mechanics; Introduction ,
Springer, 1989.
Other recommended books for Part II:
Amnon Yariv,
Quantum Electronics , 3rd edition, John Wiley, 1989
R. H. Bube, Electrons in solids , Acad. Press, 1988
D. E. Eastman, Atomic Physics of Lasers , Taylor & Francis, 1989
Goals:
The course is intended to expose
undergrads and junior graduates
to the basic principles of quantum
physics and its application in engineering
fields, such as lasers, solid state, etc.
It is intended to be an introductory course to
"Lasers", "Solidstate", "Quantum Electronics",
"Nonlinear Optics", and "Electr. & Opt. Properties of Materials",
and to cover the needs of most of departments in
the School of Engineering.
Topics:
Part I

Intro: quantum mechanics in a nutshell

classical mechanics of particles

classical mechanics of waves; EM waves

waves vs particles; the Schroedinger wave equation

QM operators, mean values and uncertainty relations

wavefunctions, eigenfunctions, eigenstates and energy levels

Timedependent problems: expantion of QMpacket in a free space

"Philosophical" matters: measurements, wavefuntion collapse, etc.

quantum theory of particle motion in simplest 1D potentials:
harmonic oscillator, rectangular quantum well of infinite and finite depth, etc.

quantum mechanics of electrical circuits

Reflection, transmission and tunneling in 1Dscattering

quantum theory of hydrogen atom; 3D wavefunctions and quantum numbers

course project: literature search and seminarstyle
presentation on recent QM applications and discoveries

review and final exam
Part II (second semester)

Spin

transition from QM back to classical mechanics

the interaction of light with quantum system; radiative transitions,
atomic susceptibilities, absorption and dispersion

Twolevel model: a workhorse of quantum electronics

stimulated emission and basics of lasers

basics of nonlinear optics

brief review of "extreme" nonlinear optics

electrons in solids; freeelectron model;
photoemission; energy bands in crystal lattice

course project: literature search and seminarstyle
presentation on recent QM applications and discoveries

review and final exam
Grading policy: home work about 60%; project, 20%, final exam, 20%.
Engineering Science: 3 credits (100%) for each Part.
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