CHAIR: Professor Jacqueline van Gorkom, 1314 Pupin
Hall
DIRECTOR OF GRADUATE STUDIES: Professor James H.
Applegate, 1322 Pupin Hall
PROFESSORS
James H. Applegate
Norman H. Baker
David J. Helfand
Steven Kahn (Physics)
Joseph Patterson
Kevin H. Prendergast
Edward A. Spiegel
Jacqueline van Gorkom
ASSOCIATE PROFESSORS
Elena Aprile (Physics)
Arlin P. S. Crotts
Jules P. Halpern
ASSISTANT PROFESSOR
Laura Kay (Barnard)
ADJUNCT PROFESSOR
Michael Allison
Admission and Degree
Requirements
The requirements listed below are special to this department and must be
read in conjunction with the general requirements of the Graduate School.
For Admission
An undergraduate major in physics, astronomy, or a closely related field
is required in addition to a solid background in physics, calculus, and
ordinary differential equations.
Participation in Instructional Activities
All graduate students are normally required to participate in the
educational activities of the department. Fulfillment of this requirement
usually involves the supervision of laboratory or discussion sections.
For the M.A. Degree
Required courses: Astronomy G4001-G4002 and
G4686-G4687 (unless waived by the department), 12 points of
courses in the series in Astronomy G6000-G6005; a total of
30 points of astronomy or physics courses numbered 4000 or above. Up to 6
points toward the total of 30 may be awarded for a written report on a
research project carried out under the direction of a faculty member. This
project must be approved by the department. Students may work toward the
M.A. degree either on a full-time or part-time basis. Full-time students
may receive the M.A. degree as early as the end of the first year of
study. Part-time students must complete the degree within four years.
Languages: none.
Qualifying examination: none.
For the M.Phil. Degree
Required courses: same as for the M.A. degree.
Languages: none.
Research projects: By the end of the second year in
residence, a student must have completed two, and preferably three, short
research projects under the supervision of at least two different faculty
members as well as written reports thereof. Committees of the faculty
will meet with each student in September of the 2nd and 3rd years to hear
a presentation of these projects and discuss the results.
Qualifying examination: to be taken in June at the end of
the student's first year. Students failing the qualifying examination in
June may take the examination again the following January. The examination
covers both physics and astronomy.
For the Ph.D. Degree
After completion of all requirements for the M.Phil. degree, the student
must prepare and successfully defend a dissertation.
Facilities
Research in astronomy and astrophysics is conducted in both the Department
of Astronomy and the Department of Physics. Students in the Astronomy
Department routinely work with the faculty of both Departments; who are
located in the same building. A number of students also work on Ph.D.
theses at the neighboring Goddard Institute for Space Studies (GISS),
where research in planetary sciences is vigorously pursued. The faculty
excel in theory, observations, and the development of new instrumentation,
covering particle physics, cosmology and astrophysics, as well as
extragalactic, galactic, and stellar astronomy.
Columbia's Astrophysics Laboratory, a joint endeavor involving the
Astronomy and Physics departments, has extensive experience in the design
and construction of new astronomical instruments for rocket, satellite and
Space Shuttle missions. Facilities include laboratories and equipment for
testing and assembling experiments, X-ray beam facilities, an electronics
shop and a well-equipped and highly skilled instrument machine shop.
The Physics and Astronomy library contains over 35,000 volumes, including
essentially all journals relevant to astronomy. The Astronomy department
also has its own supplemental collections of reference books.
We maintain an extensive preprint library and hold weekly Journal Club
meetings at which the most important recent papers are discussed. Every
week, both Physics and Astronomy colloquia are given by invited speakers.
The Astrophysics Laboratory and Astronomy Department have a number of
computers, including 30 SUN workstations ranging from SPARC 2's to
UltraSparcs, 200 Gigabytes of disk storage, high density tape drives,
monochrome and color laser printers, PC's and graphics terminals. All
offices have connections to these machines through an Ethernet network.
Full versions of AIPS, FIGARO, and IRAF are supported. Columbia
University is a member of the Cornell National Supercomputer Facility
(CNSF); Columbia researchers have access to this over a fast network.
The Astronomy Department operates a 24-inch reflector at the Harriman
Observatory, one hour north of New York City.
Further information may be found in the Graduate Study and Research
brochure, obtainable from the Astronomy Department Office (212) 854-3278.
Financial Aid
A comprehensive program of financial aid, including fellowships and
appointments in research and in teaching, is available to students in the
department.
Courses of Instruction and
Research
Not all courses are given every year. To ascertain which of the following
courses are given in each of the next two years and their times, consult
the separate Registrar's Directory of Classes or
ColumbiaNet.
Astronomy G4001. Astrophysics, I. 4.5 pts. N. H.
Baker. This is the first semester of a full year introduction to
astrophysics. Topics include the physics of stellar structure, stellar
spectra, the HR diagram, the determination of distances, stellar
evolution, nucleosynthesis, supernovae, white dwarfs, neutron stars,
interacting binaries, stellar pulsations.
Astronomy G4002. Astrophysics, II. 4.5 pts. J. van
Gorkom. Continuation of Astronomy G4001. Topics
include galactic structure, star clusters, the interstellar medium,
external galaxies, clusters and superclusters of galaxies, active galactic
nuclei, cosmology.
Astronomy G4003. Observational techniques. 3 pts.
To be announced. Prerequisites: basic astronomy such as
C1103/C1104 or F1001/F1401 and basic Physics
courses including optics, electronics and laboratory work on these two
topics: General Physics III: Optics & Thermodynamics C1011 or C1111.
Detailed introduction to the instrumentation used in astronomy and the
methods used to obtain and analyze astronomical data. Six main topics are
included: the effects of the Earth's atmosphere on radiation; astronomical
optics and telescopes; detectors; observational methods; data reduction
and statistical methods. All the main observational methods (imaging,
photometry, polarimetry, and spectroscopy) are treated.
Astronomy G4301. Astrophysical and geophysical
fluid dynamics. 3 pts. N. H. Baker. Prerequisite: some knowledge of
ordinary and partial differential equations. Equations of motion for
oceans, atmospheres, planetary interiors, and stars. Dynamics of rotating
and stratified flows. Gravity, inertial, acoustic, and rossby waves.
Convective, baroclinic, and shear instabilities turbulence. Spin-up and
dynamo theory.
Astronomy G4686. Physics of astrophysics, I. 4.5
pts. N. H. Baker. Prerequisite: 3000-level electromagnetic theory
and quantum mechanics. Physical processes in gases, with emphasis on
those topics important in an astrophysical setting (stars, diffuse
nebulae, galaxies). Statistical mechanics; non-equilibrium statistical
and continuum physics; classical and semi-classical radiation theory.
Astronomy G4687. Physics of astrophysics, II. 4.5
pts. N. H. Baker. Prerequisite: Astronomy G4686 or
permission of the instructor. An introduction to hydrodynamics,
magnetohydrodynamics, and plasma physics with applications to problems of
astrophysical interest. The Euler and Navier-Stokes equations, linear and
non-linear waves rotating fluids, stability theory, supersonic flow and
shock waves, similarity solutions, and heuristic theories of turbulent
transport. Ideal magnetohydrodynamics, flux conservation, Alfven waves.
Motion of changed particles in magnetic fields, adiabatic invariants,
Vlasov equation, dispersion relations, and collisional dissipation.
Astronomy G6001. Advanced stellar structure and
evolution. 3 pts. N. H. Baker. Topics include solar and stellar
seismology, rotating stars, magnetic stars, pulsating stars, stellar mass
loss, compact objects, interacting binary stars, pulsars, supernovae,
nucleosynthesis.
Astronomy G6002. Radiative transfer and stellar
atmospheres. 3 pts. K. H. Prendergast. Topics include the transfer
equation, emission, absorption, scattering, line formation, curve of
growth, moving atmospheres, non-LTE effects, non-thermal radiation
mechanisms, comptonization, synchrotron self-absorption, masers.
Astronomy G6003. Galactic structure and the
interstellar medium. 3 pts. K. H. Prendergast. Topics include gaseous
nebulae, ionization zones, molecular clouds, star formation, interstellar
chemistry, supernova remnants, stellar populations, stellar kinematics,
galactic rotation, theory of spiral structure, dark matter in the galaxy,
star clusters, chemical evolution of the galaxy.
Astronomy G6004. Internal properties of ordinary
and active galaxies. 3 pts. Instructor to be announced. Topics
include the stellar and gaseous contents of ordinary galaxies, their
luminosities, masses, structures and internal dynamics. Active galaxies
including quasars, BL-Lac objects, seyfert galaxies, radio galaxies,
emission line galaxies, extragalactic HII regions, and starburst and
infrared luminous galaxies. Galaxy formation and evolution will be
treated from the perspective of stellar populations, the initial mass
function, thermal instabilities, violent relaxation and chemical
evolution. Observational and practical methods will receive equal
emphasis with theoretical descriptions.
Astronomy G6005. Physical cosmology. 3 pts.
Instructor to be announced. Topics include the extragalactic distance
scale, Friedmann models, the microwave background, primordial
nucleosynthesis, the formation of bound structures, clusters and
superclusters of galaxies, measures of the mean density of the university,
dark matter, baryosynthesis, inflation, galaxy formation, the particle
physics connection.
Astronomy G8001. Planetary fluid dynamics. 3 pts.
M. Allison. This course will be devoted to the study of the
macroscopic motion of the fluid envelopes of planets (and stars) in
response to the effects of rotation, pressure-density gradients, and
diabatic forcing. After a brief review of the relevant thermodynamic and
radiative processes, the equations of rotational fluid motion will be
applied to the comparative analysis of terrestrial meteorology, oceanic
flow, and the observed dynamics of planetary atmospheres, with occasional
reference to related astrophysical phenomena. Special topics will include
potential vorticity, geostrophic and cyclostropic balance, Ekman boundary
layers, Rossby waves, and baroclinic instability.
Astronomy G9001-G9002. Special
topics in astrophysics. 2 to 4 pts. Members of the staff.
Astronomy G9003-G9004.
Research, I and II. 3 pts. Members of the staff.
Astronomy G9201-G9202.
Seminar in stellar astrophysics. 2 to 4 pts. Members of the staff.
Astronomy G9203-G9204. Seminar
in radio astronomy and galactic astrophysics. 2 to 4 pts. Members of the
staff; J. van Gorkom.
Astronomy G9206. Seminar in infrared and radio
astronomy. 2 to 6 pts. Members of the staff. Astronomical discoveries
driven by instrumental developments. Review of the Fourier transform and
its applications, the interferometer in practice, imaging sensitivity,
deconvolution, self calibration, spectral line imaging, VLBI, optical
interferometry. Discussion of papers on astronomical results obtained
with state of the art instrumentation and/or algorithms.
Astronomy-Physics G6011. High-energy astrophysics.
3 pts. J. Halpern. Prerequisite: Physics G4021-G4022
or the equivalent. A survey of galactic and extragalactic X-ray
and gamma-ray astronomy. X-ray binaries, bursters, pulsars, supernova
remnants, active galactic nuclei, quasars, clusters of galaxies. Cosmic
rays, astrophysical plasmas, radiative processes. Diffuse background
radiation. Techniques of high-energy astrophysics including detectors,
spectrometers, and telescopes.
Astronomy-Physics G6012. High-energy astrophysics.
3 pts. J. Halpern. Prerequisite: Physics G4021-G4022 .
A survey of galactic and extragalactic X-ray and gamma-ray astronomy.
X-ray binaries, bursters, pulsars, supernova remnants, active galactic
nuclei, quasars, clusters of galaxies. Cosmic rays, astrophysical
plasmas, radiative processes. Diffuse background radiation. Techniques
of high-energy astrophysics including detectors, spectrometers, and
telescopes.
Astronomy-Physics G6121. Classical continuum
physics. 4.5 pts. E. A. Spiegel. Various aspects of fluid dynamics
illustrated by an exposition of nonlinear waves in fluids and plasmas,
solitary waves and solutions.
1997 August 28 | www@astro.columbia.edu |