Physics 235,
“Modern Physics I” Spring
2006
Instructor:
Wayne F. Reed
Stern
Hall 5068, 862-3185
Class room Tilton 305,
Class hours Tues. and Thurs.
office hours: Tu,
Text: Modern
Physics by Serway, Moses and Moyer, 3nd Ed.
The
focus of this semester is the introduction of the major theories of modern
physics; Special Relativity and Quantum Physics. The formulation of Special Relativity by
Einstein is quite unrelated to Quantum Physics.
With two simple postulates Einstein attacked and modified the
traditional ways of defining and measuring space and time. The consequences are quite surprising and
often seem to defy common sense. So much
experimental evidence has been accumulated which supports the theory, however,
that few scientists doubt its validity.
Only one chapter of the text is devoted to this topic, so that we will
quickly move on to Quantum Physics for the rest of the course.
Whereas
Special Relativity was essentially the work of a sole person, Einstein, the
clarification and formulation of modern Quantum Physics was the work of many
people spread out over several generations.
Key experimental observations included the discovery of x-rays,
radioactivity, the photo-electric effect, the diffraction of electrons, the
positron, and the neutron, and the measurement of the electromagnetic emission
spectrum of heated bodies. Only after
the major postulates on the quantization of energy and the so-called
‘wave/particle duality’ of physical entities were made and corroborated for
isolated phenomena could the baffling array of exotic experimental phenomena
finally be puzzled out. The mathematical
formulation was likewise a slow and difficult trail to blaze. Although there are still unresolved paradoxes
and plenty of healthy skepticism concerning Quantum Physics, its success at
describing astrophysical, molecular, atomic, nuclear and elementary particle
phenomena has established it as a useful and powerful theory.
This
semester we will work through chapters 1 to 9.
The text will be followed closely, although some sections will be
skipped.
The
objectives of the course are:
1) To
familiarize you with the historic chain of events and experimental and
conceptual breakthroughs in the nineteenth and twentieth centuries which laid
the foundations of Modern Physics.
2) To build
up familiarity with relativistic concepts of space-time, and to apply these to
a variety of phenomena and applications.
3) To build up
the mathematical foundations of quantum mechanics, stressing the formulation of
the particle-wave picture and the Schrödinger wave equation. This latter will be solved in a variety of
simple situations, before we proceed to the properties of the hydrogen atom.
Emphasis then turns to multi-electron atoms, indistinguishability of particles,
and the structure of the periodic table of elements. Along the way you will be asked to master the
key concepts of uncertainty relations, Fourier integral representations,
expectation values and their relation to probability theory, eigenfunctions,
symmetry/anti-symmetry properties, separation of variables, differential
operator representations, and others.
4) At all
times, we will make constant references to other areas of Physics, especially
Classical Mechanics, Electromagnetism, Optics, and Thermodynamics. We will contrast classical notions from these
areas, build off of some of them for conceptual clarity, and study the profound
modifications that occur when they are treated quantum mechanically.
5) At the end
of this course you will be prepared for a serious introduction to the main
sub-disciplines of Modern Physics: Atoms
and Molecules, Condensed Matter, Nuclear Physics, Particle Physics,
Astrophysics and Cosmology.
As far as grades;
there will be 3 semester tests, each worth 25%, and a cumulative final
worth 25%. Homework problems will be
assigned for each chapter, but not graded.
We will devote some time after each chapter to go over some of the
problems. Solutions are posted on my web
site, accessible from the
The
exact dates of the semester exams will be announced as the semester
proceeds. Make-up exams will be given
only if signed notes indicating a valid medical excuse for absence are obtained
both from a doctor and from the Office of the Academic Dean. Conflicts due to travel, e.g. at vacation
times, are not legitimate excuses for missing exams. Make-up exams will not be curved and will not
necessarily follow the same format as the exam missed. No grades will be dropped.
The final exam is scheduled definitively
for
Please seek me out during
office hours, or by appointment, whenever you need help or would like to
discuss course material.
Problem
Assignments for PH235, Modern Physics I
Note: An ugly practice
perpetrated by most, if not all college textbook publishers is the unending
issuing of 'updated editions'. Updated Physics editions rarely contain changes
of any value, despite the Publisher's most earnest pleas to the contrary.
Rather, the purpose of these constant new editions is to prevent a substantial
used book market from forming, which would allow students to save money but
would cut into publishers' profits. The changes in new editions usually consist
in renumbering chapters and problems so that old assignments by pages,
chapters, and problems can no longer be used, forcing students and instructors
to purchase the most current edition. The 3rd Edition by
Serway/Moses/Moyer is no exception to this trend. The handworked problem
solutions that this site links to were numbered by chapter and problem from the
3rd edition. The assignment below gives the chapters and problems in the 3rd
edition, and, in parentheses the correspondence to the chapter and problem
numbers of the 2nd edition
so that you can use the posted, handwritten solutions. An 'x' means there is no
problem in the 3rd edition
that corresponds to the 2nd
edition.
3rd Ed. Ch. 1:
6, 7, 10, 17, 19, 21, 23
(2nd
Ed. Ch. 1: 7, 8, 11, 18, 20, 22,
24)
3rd Ed. Ch. 2:
3, 8, 16, 19, 23
(2nd
3rd
Ed.
(2nd
Ed. Ch. 2: 5, 10, 14, 17, 22, 24, 29,
36, 41, 42)
3rd
Ed.
(2nd
Ed. Ch. 3: 8, 9, 23, 24, 29, 35)
3rd
Ed.
(2nd
Ed. Ch. 4: 6, 8, 14, 17, 24, 29, 31,
37)
3rd
Ed.
(2nd
E. Ch. 5: 2, 5, 9, 13, 16, 23, 30, 33, 34, 35, 36)
3rd Ed. Ch. 7:
1, 2, 3
(2nd
Ed. Ch. 6: 1, 2, 3)
3rd
Ed.
(2nd
Ed. Ch. 7: 5, 6, 10, 14, 19, 23, 25, 26)
3rd
Ed.
(2nd
Ed. Ch. 8: 7, 8, 9, 10, 11, 13, 14, 15,
17, 21, 22)