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  • Physics and Astronomy
    Department Chair: Frank Tabakin
    Main Office: 100 Allen Hall
    (412) 624-9000 (phone) (412) 624-9163 (fax)
    http://www.phyast.pitt.edu/

    Primary Faculty: Professors BARANGER (Vice Provost), BAYFIELD, CARLITZ, CLELAND, DUNCAN, DYTMAN (Graduate Admissions), GATEWOOD (Director, Allegheny Observatory), GOLDSCHMIDT, HAZARD (Richard K. Mellon Professor), JASNOW, JOHNSEN (Graduate Coordinator), KOEHLER, LOWE, MAHER (Provost), PRATT, ROSKIES (Co-director, Pittsburgh Supercomputing Center), SHEPARD, TABAKIN (Chair), THOMPSON, VINCENT (Graduate Advisor), WINICOUR, ZIPF; Associate Professors BOYANOVSKY, DEVATY, ROVELLI, SCHULTE-LADBECK, STEWART (Dean, University Honors College), TURNSHEK, WU; Assistant Professors BOUDREAU, CONNOLLY, HILLIER (Graduate Advisor), LEVY, MUELLER (Graduate Advisor), NAPLES, PAOLONE, SNOKE; Instructor GUNDUZ; Lecturer SINGH; Research Professor CHOYKE; Research Associate Professor GOMEZ

    Affiliated Faculty (Adjunct faculty and those with primary appointments in other areas): Professors BISHOP (Adjunct), COALSON (Chemistry), YATES (Richard K. Mellon Professor, Chemistry); Associate Professors EDWARDS (Adjunct), ERDMAN (Adjunct), KOZAMEH (Adjunct); Assistant Professors FRITTELLI (Adjunct), RAMSIER (Adjunct)

    Emeritus Faculty: Professors ANDERSON, AUSTERN, BIONDI, COHEN, DAEHNICK, DRISKO, ENGELS, FITE, GARFUNKEL, GERJUOY, GOLDBURG, HALLIDAY, JANIS, NEWMAN, PAGE, SALADIN, STEHLE, TOWNSEND, WILLEY; Associate Professor KIEWIET de JONGE

    The Department of Physics and Astronomy offers a PhD in either Physics or Astronomy, a PhD with an Area of Concentration in Applied Physics, a PhD with an Area of Concentration in Chemical Physics, and an MS in either Physics or Astronomy.

  • Admission to Graduate Studies
    Admission to graduate study in the Department of Physics and Astronomy requires the satisfactory completion of most of the advanced undergraduate courses in the following subjects: mechanics, electricity and magnetism, modern physics, quantum mechanics, thermodynamics and statistical mechanics, differential equations, and advanced calculus. All applicants for graduate study should submit their undergraduate (and graduate, if they have completed graduate work elsewhere) transcripts, the results (scores) of the Graduate Record Examination (including GRE physics subject test), a statement of purpose and three letters of recommendation. Applicants who do not speak English as their native language must also submit the results of the Test of English as a Foreign Language (TOEFL).

  • Graduate Student Support
    Financial aid is normally provided through teaching assistantships during the first year and through research assistantships thereafter. The department has recently established several competitive fellowships for entering students. They are awarded on a competitive basis with all qualified applicants automatically entered into a pool. Some University fellowships are also available and are awarded in a University-wide competition. (See Financial Assistance in the first section of this bulletin.) The department endeavors to support each student throughout his/her entire graduate career, provided good academic standing is maintained.

  • Master’s Degree Requirements
    A candidate for the Master of Science degree in either Physics or Astronomy must pass the appropriate MS comprehensive examination (often the same as the PhD preliminary examination), must maintain a quality point average of at least 3.00, and complete a minimum of 24 credits. He or she may elect one of two alternative programs: (1) a thesis on original work or a significant review, plus five or six regular courses at the graduate or 1170 level; or (2) no thesis, but eight regular courses at the graduate or 1170 level, of which two can be mathematics or other subjects approved by the graduate committee, but above the 2000 graduate course level. A reasonably well-prepared student with a BS should find it possible to attain the MS within one full year.

  • Doctoral Degree Requirements
    The PhD programs in the Department of Physics and Astronomy aim to assure that the graduates are well versed in the fundamentals of their fields, have a broad knowledge of contemporary developments, and are experts in the techniques and current state of the subject area of their research. Thesis research, a major part of the PhD program, should contribute significantly to the advancement of knowledge or the techniques of research in the field. Requirements of teaching, presenting seminars, and writing a thesis serve to give the candidates some experience in the effective communication of their work.

    The preliminary examination is taken in the Spring Term by all first-year graduate students. It is a written examination and covers advanced undergraduate material only. The comprehensive examination is also taken in the spring by second-year graduate students and some well-prepared first-year students. It is a written examination based on the core graduate courses. In addition to passing the comprehensive examination, the PhD candidate must be judged satisfactory in at least three credit hours of teaching.

    Additional information is contained in the brochures, Graduate Study in Physics and Astronomy and Requirements for the PhD and MS Degrees, Department of Physics and Astronomy, both of which may be obtained from the departmental office. The minimal degree requirements established by the Graduate Faculty of the University and by FAS Graduate Studies, as described elsewhere in this bulletin, should be read in conjunction with the specific departmental requirements.

  • Facilities
    The department’s facilities include a physics library, an electronics shop, a glassblowing shop, a professionally staffed machine shop, and extensive departmental and University computer resources. Large CPU-intensive computer programs may be run by connecting to powerful workstations or to campus time-sharing services accessible via public computing labs, dial-up access, the Internet, or to the nation’s most powerful vector and massively parallel machines at the Pittsburgh Supercomputing Center, which is a joint effort of the University of Pittsburgh and Carnegie Mellon University, together with Westinghouse Electric Company. Other facilities include the Allegheny Observatory (for positional astronomy), and the Laurel Mountain Airglow Observatory (located about 50 miles east of Pittsburgh in the Allegheny Mountains). Many of the experiments in particle and intermediate energy physics are carried out at national and international facilities such as Brookhaven National Laboratory in New York; Fermi National Laboratory in Chicago; CERN in Geneva, Switzerland; Thomas Jefferson Accelerator Facility in Virginia; Oak Ridge National Laboratory in Tennessee; and Los Alamos National Laboratory in New Mexico. Similarly, programs are conducted at national and international observatories. For example, at Arecibo in Puerto Rico; at the Very Large Array in New Mexico; at Kitt Peak and Mount Hopkins, Arizona; at Cerro Tololo and Las Campanis, Chile; and on the Hubble Space Telescope and other space observatories. Atmospheric physics research is conducted from rocket launching sites at Wallops Island, Virginia, and Fort Churchill on Hudson Bay, Canada. An additional airglow observatory is maintained in Arequipa, Peru.

  • Research
    A program of graduate studies leading to the PhD requires the submission and acceptance of a PhD dissertation. The dissertation must present the student's research contribution, a significant independent project that advances knowledge or techniques in the field. A student has a wide choice of acceptable thesis topics. In physics or in astronomy, it is usually desirable to join an existing research group, either within the department or in another department that does research that is appropriate for a PhD thesis in physics or astronomy. Below is a description of some of the areas of research that are currently available within the department.

    The Department of Physics and Astronomy has ongoing research programs, both theoretical and experimental, in the following fields: general relativity, astronomy (both astrophysics and astrometry), atomic physics, quantum optics, earth and planetary atmospheres, condensed matter (including solid-state physics, statistical mechanics and fluid dynamics, and biophysics), chemical physics, nuclear and intermediate energy physics, and elementary particle physics. The department (in collaboration with the physics department at Carnegie Mellon and Westinghouse Electric Company) operates the Pittsburgh Supercomputer Center. The accessibility of this center greatly enhances the research capabilities of all the departmental research programs. Below is a sampling of current research activities in the department in many of these fields.

    General Relativity: Theoretical studies include research in gravitational radiation by numerical analysis, reformulation of the classical Einstein equations, and the relationship of quantum theory to general relativity.

    Astronomy and Astrophysics: The department has programs in extragalactic astronomy and cosmology, stellar astrophysics, and astrometry. In extragalactic astronomy and cosmology, there are programs to study the physical processes in quasars / active galactic nuclei, the formation and evolution of galaxies and the intergalactic medium using quasar absorption lines, gravitational lensing, and nearby galaxies such as blue compact dwarfs. In stellar astrophysics, much of the work deals with the observation and detailed numerical modeling of the stellar atmospheres of fast-evolving massive stars. In astrometry (positional astronomy), highly accurate studies of the motions of nearby stars are performed to deduce stellar parallaxes (distances) and search for planetary companions. Long-term astrometric studies are made at our own Allegheny Observatory in Pittsburgh. Instrument development for astrometric measurements is also carried out. Faculty have made UV / optical / IR studies using the most powerful and modern telescopes at leading observatories throughout the world and in space, for example, the WIYN telescope on Kitt Peak, the Hubble Space Telescope, and the Keck Telescope. Radio astronomical studies have also been carried out at the several national observatories dedicated to radio astronomy.

    Atomic Physics and Quantum Optics: There are both theoretical and experimental studies of the interaction of radiation with atomic systems and of interactions between ions and atoms, in weak and in strong electromagnetic fields (intense laser radiation), and in both relativistic and classical (non- relativistic) limits. This research has important consequences for lasers, for fusion plasmas, for astrophysics, and for our basic understanding of quantum mechanics.

    Earth and Planetary Atmospheres: Both ground-based and rocket-based observations of the atomic and ionic processes in the upper atmosphere are carried out from observatories and launching stations around the world.

    Condensed-matter Physics: In solid-state physics there are studies of the optical and infrared properties of solids, of semiconducting radiation detectors, quantum wells, the effect of ion implantation on channeling, photoluminescence and Raman scattering in semiconductors, and many topics in surface science, including the effects of strain and dislocation. High spatial and temporal resolution optical techniques are being developed and used to study electron and lattice dynamics in ferroelectrics, semiconductors, and other solid state materials. Using intense, picosecond laser pulses, electronic phase transitions such as Bose condensation of excitons are studied in bulk semiconductors and two- dimensional quantum well structures. In statistical mechanics and fluid dynamics there are both theoretical and experimental studies of phase transitions; spin glasses; fractals; critical phenomena; the properties of interfacial regions separating phases; and dynamic, non-equilibrium behavior in hydrodynamic systems. One of the more interesting experimental techniques involves the use of laser light scattering from density fluctuations in turbulent and incipient turbulent flow of fluids. Biophysics research within the department is primarily in the field of magnetic resonance imaging of live biological systems.

    Nuclear and Intermediate Energy Physics: Theoretical research makes use of quantum field theory and quark dynamics to predict proton-antiproton reactions and the electromagnetic production of spin zero and spin one mesons. Experimental projects include studies of the structure of very light nuclei and nucleon resonances; the nucleon-nucleon force; and the competition between the strong interaction and the coriolis interaction in rapidly rotating nuclei. Experiments are conducted at national laboratories such as the Thomas Jefferson National Laboratory.

    Elementary-particle Physics: Theoretical research projects include studies of strong and weak interactions, precision tests of quantum electrodynamics, and the behavior of quarks and gluons. Experimental projects include studies of proton anti-proton collisions resulting in the production and decay of “top” and “bottom” quarks using the CDF detector at the Fermi National Accelerator Laboratory, a search for the “tau” neutrine at Fermilab, and rare kaon decays at Brookhaven National Laboratory. Work on the Large Hadron Collider at CERN (European Center for Nuclear Research) is also being done.

  • Courses
    The formal course offerings in the department are listed below. The undergraduate and graduate core courses in physics are given every year, as are some of the more popular advanced courses. Other physics courses and the astronomy courses are given in alternate years, or only occasionally, depending in part on student interest. All students are expected to take or otherwise demonstrate their mastery of the core courses. Reading courses and independent study can be arranged.

     

    Independent Study Plan: Under this plan, an exceptionally able and well-motivated student may prepare for the examination and the completion of requirements without formal registration in the courses. Such a student would be assigned to a faculty member who would guide him or her in a private course of study and meet with the student in frequent tutorial sessions. A student following this plan would have complete freedom to attend courses as an auditor but must be registered for directed or independent study (see Grading and Credits in the first section of this bulletin). Except in unusual cases, students will not be admitted to this plan until they have demonstrated their abilities by formal enrollment in the conventional manner for at least one term.

    Graduate Lecture and Laboratory Courses    
    2000 RESEARCH AND THESIS FOR THE MASTER'S DEGREE VAR. CR.
    2101-2103 SPECIAL TOPICS 3 CR.
    2274 COMPUTATIONAL PHYSICS 3 CR.
      PREREQUISITE: PHYS 1173  
    2513 CLASSICAL MECHANICS 3 CR.
    2514 HYDRODYNAMICS 3 CR.
      Prerequisite: PHYS 2513  
    2541, 2542 THERMODYNAMICS AND STATISTICAL MECHANICS 1, 2 3 CR. EA.
    2555, 2556 CLASSICAL ELECTRICITY AND MAGNETISM 1, 2 3 CR. EA.
    2565, 2566 NON-RELATIVISTIC QUANTUM MECHANICS 1, 2 3 CR. EA.
    2675 MODERN PHYSICAL METHODS 3 CR.
    2990 INDEPENDENT STUDY VAR. CR.
    2997 TEACHING OF ASTRONOMY AND PHYSICS 1 CR.
      Required of all new graduate students  
    2998 TEACHING OF ASTRONOMY AND PHYSICS-PRACTICUM VAR. CR.
      Required of all graduate students  
    3000 RESEARCH AND DISSERTATION FOR THE PHD DEGREE VAR. CR.
    3101-3103 SPECIAL TOPICS VAR. CR.
    A variety of 3000-level courses on subjects such as nuclear resonance, cosmology, superconductivity, phase transitions, chaos, and numerical methods in physics are offered from time to time, depending on student interest.
    3580 GALACTIC AND EXTRAGALACTIC ASTRONOMY 3 CR.
    3701 RADIATION PROCESSES IN THE UNIVERSE 3 CR.
    3705 PHYSICS OF ATOMIC COLLISIONS*(R) 3 CR.
      Prerequisite: PHYS 2566  
    3705 ASTRONOMICAL TECHNIQUES 3 CR.
    3706 ATOMIC STRUCTURE AND INTERACTIONS*(S) 3 CR.
      Prerequisite: PHYS 2566  
    3707 INTERMEDIATE QUANTUM MECHANICS 3 CR.
      Prerequisite: PHYS 2566  
    3712 TOPICS IN NONLINEAR DYNAMICS 3 CR.
    3713 QUANTUM OPTICS*(R) 3 CR.
      Prerequisites: PHYS 2556, 2566, 2542  
    3715 SOLID-STATE PHYSICS**(S) 3 CR.
      Prerequisites: PHYS 2556, 2566, 2542  
    3716 ADVANCED SOLID STATE PHYSICS*(R) 3 CR.
      Prerequisites: PHYS 2556, 2566, 2542  
    3717 NUCLEAR PHYSICS**(S) 3 CR.
      Prerequisite: PHYS 2566  
    3718 ADVANCED NUCLEAR PHYSICS*(R) 3 CR.
    3721 PHYSICS OF PLANETARY ATMOSPHERES*(R) 3 CR.
      Prerequisite: PHYS 2566  
    3723 PHENOMENOLOGICAL PARTICLE PHYSICS*(S) 3 CR.
    3725, 3726 GENERAL RELATIVITY 1, 2 3 CR. EA.
    3750 STELLAR STRUCTURE 3 CR.
    3751 INTERSTELLAR MEDIUM 3 CR.
    3765 RELATIVISTIC QUANTUM MECHANICS 3 CR.
      Prerequisites: PHYS 2556, 2566, 3707  
    3766 FIELD THEORY 3 CR.
      Prerequisites: PHYS 2556, 2566, 3707, 3765  
    3767 TOPICS IN PARTICLE PHYSICS*(R) 3 CR.
      Prerequisites: PHYS 2556, 2566  
    3785 COSMOLOGY 3 CR.
    3902 DIRECTED STUDY VAR. CR.

    Undergraduate Courses Carrying Graduate Credit
       
    1170, 1171 INTRODUCTION TO QUANTUM MECHANICS 1, 2 3 CR. EA.
      Prerequisites: PHYS 0150, 0160; MATH 0250; or equivalents  
    1172 ELECTROMAGNETIC THEORY 3 CR.
      Prerequisites: PHYS 0150, 0160; MATH 1550; or equivalents  
    1173 MATHEMATICAL METHODS OF PHYSICS  3 CR.
      Prerequisites: PHYS 1172; MATH 1560; or equivalents  


    *(R)    Research-level course. Intended for students doing PhD research in that field.
    **(S)  Survey course. Intended to be an introduction to the field.  

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