Doctoral study programme Mathematics and Physics, subprogramme Physics
Level of the studies:
3rd-cycle programme (according to the Bologna scheme)
The doctoral study programme Mathematics and Physics, subprogramme Physics, lasts for 3 years and comprises 180 credit points. The programme is composed of organized teaching, which accounts for 60 credit points, while the remaining 120 credit points are devoted to individual research and to preparation and defence of the doctoral dissertation. The subprogramme Physics has four modules: Physics, Physics Education, Meteorology, and Nuclear Engineering. The study requirements of the programme are in compliance with the Higher Education Act and with the Criteria for Accreditation of Institutions and Study Programmes of Higher Education, adopted by the Higher Education Council of the Republic of Slovenia. They are evaluated according to the European Credit Transfer System (ECTS), which makes it possible for parts of the programme to be included directly into international exchange with universities using ECTS.
In accordance with the selected module of study, the candidate is awarded the title Doctor of Science in the field of a) physics, b) physics education, c) meteorology, and d) nuclear engineering.
Fundamental objectives of the programme:
The main objective of the study programme Mathematics and Physics, subprogramme Physics, is to educate highly qualified researchers and experts for independent research and development in the fields of physics, nuclear engineering, meteorology, and physics education at a level that is comparable and competitive with current top-quality research in the selected fields pursued in the most advanced parts of the world. Independent research for the doctoral thesis, representing the major part of the study programme, provides in-depth knowledge in the area of the narrow specialization, while the structure of the organized part of the study programme guarantees also a sufficient broader knowledge that is nowadays indispensable for a young expert to be able to efficiently respond to the rapid development and changes in modern science and to become an active member of larger interdisciplinary research teams.
The organized part of study in the subprogramme Physics is designed so that the student must select one subject from the group of subjects (A) which are bound to the selected module and cover the broader field of the doctoral thesis, offering a deeper insight into the general principles of physics. This should provide a sound basis for independent research as well as an appropriate breadth of knowledge. The remaining subjects are completely optional (group B) and are intended for narrower specialization in the candidate's field.
General competencies acquired with the programme:
- Capacity for abstraction and problem analysis
- Gathering, critical evaluation and synthesis of data, measurements and solutions
- Identification of data needed for obtaining new knowledge
- Forming new knowledge on the basis of existing theories and available data
- Use of knowledge in practice (especially in modern technologies)
- Capacity for interdisciplinary integration of scientific knowledge
- Capacity for both autonomous research and development, and for working in a (international) group
- Communicating scientific knowledge to the general public
- Ability to use modern research methods and procedures
- Ability to critically evaluate and present own results
- Capacity for further independent education, research and following of the literature
- In-depth understanding of the physical laws of nature
- Combining the basic laws of nature and observable properties of the world
- Ability to creatively identify physical problems and analyse them
- Capacity for mathematical formulation of physical problems
- Deduction of the physical basis of practical problems
- Ability to model problems
- Advanced physical experimental skills
- Critical evaluation of the results of measurements and their use in construction of models
- Understanding the principles of operation of technical devices on the basis of fundamental laws
- Presentation of physical methods and results adapted to the target public (in Slovene and in foreign languages)
- Ability to convey physics knowledge
- Capacity for critical and independent work and consulting in the field of physics education.
Enrolment requirements and criteria for selection in case of limited enrolment (valid for study year 2017-18 and later)
The following candidates can enrol in the doctoral study programme in Mathematics and Physics:
- Candidates who have completed a second-cycle Bologna study programme.
- Candidates who have completed a (pre-Bologna) bachelor's study programme accredited before 11.6.2004.
- Candidates who have completed a study programme for specialisation after the completion of the professional study programme. Depending on the completed course of study, such candidates will be required to take a bridging exam equivalent to 30-60 credit points (ECTS).
- Candidates who have completed a study programme that is regulated by directives of the European Union and carries at least 300 credit points.
- Candidates who have completed a (pre-Bologna) master’s study programme or study programme for specialisation and who before that completed a bachelor's study programme of at least 4 years duration. In accordance with the regulations, such candidates can request recognition of up to 60 credit points for their previous education.
Enrolment in the doctoral study programme in Mathematics and Physics is open also to graduates of foreign universities. In accordance with the Statutes of the University of Ljubljana, the equivalence of previous education acquired abroad is established as part of the process of recognition of foreign education for the continuation of education at University of Ljubljana.
Criteria for selection in case of limited enrolment
In case of a limited enrolment, the selection of candidates will be based on:
- Average mark of previous study (15%),
- Mark for the diploma work or master’s thesis (5%),
- The score achieved in the written selective exam (80%) in physics or mathematics. The score from this exam can be partially (up to 40%) be replaced by recognition of the candidate’s previous research and professional achievements in the field of study.
Additional requirement: Before enrolment in the doctoral study programme, the candidate should provide a signed agreement with a suitable dissertation supervisor and, if necessary, also with a co-supervisor. The agreement should be accompanied by a short description of the planned research work.
A student can be awarded credit for acquired in different forms of previous education that corresponds in content to courses in the study programme. Decisions concerning recognition of such knowledge are made by the Study Board of FMF Department of Physics on the basis of the student's written application with attached testimonials and other documents confirming successful acquisition of such knowledge and its content.
In awarding credit for an individual course, the Study Board will use the following criteria:
- comparability of the scope of previous education with the scope of the course for which credit is awarded,
- correspondence of the content of previous education to the content of the course for which credit is awarded.
For enrolment in the second year of study, students must make a successful presentation of the theme of doctoral dissertation and, in total, they must collect at least 48 ECTS from organized forms of study (the compulsory course for the selected module, elective courses, presentation of disposition, international summer schools, etc.). For enrolment into the third year, the student must collect at least 90 ECTS, 60 of which have to be from organized forms of study. Besides this, the student dissertation theme has to be approved by the university Senate.
Transfer to the doctoral (third-cycle) programme Mathematics and Physics is possible:
- From other doctoral (third-cycle) programmes of UL. The candidate must fulfil the requirements for enrolment in the doctoral (third-cycle) programme Mathematics and Physics. On the basis of credit points awarded for exams taken in the previous study programme, the FMF Study Board may require a candidate to take bridge exams (corresponding to up to 60 ECTS points) and decides in which year of study he/she may enrol.
- Under the same conditions as in the previous paragraph, the transfer is possible also from comparable programmes at other universities, if the candidate meets the requirements for enrolment in the doctoral (third-cycle) programme Mathematics and Physics.
The requirements for completion of study and acquisition of the title Doctor of Science are that the candidate successfully meets all study requirements laid down in the programme and successfully defends the doctoral dissertation, amounting to a total of 180 ECTS, 60 from the organized forms of study and 120 from research work and from dissertation preparation and defence. The candidate must also publish or have accepted for publication at least one scientific article from the field of the dissertation in one of the journals from group I - IV, as defined in the FMF Interpretation of the Criteria for Election of University Teachers, Researchers and Research Associates. The candidate should be the first author of the publication. The research article must be published or accepted for publication before the defence of the thesis. The student completes the study with a positively evaluated dissertation and its defence.
Organized forms of study (60 ECTS)
- courses (30 ECTS): (compulsory module course, selective courses)
- other organized activities (30 ECTS): (individual study, preparation and presentation of disposition, compulsory seminar)
Research work, preparation of doctoral dissertation and defence (120 ECTS)
Research work is concluded with a dissertation and its defence and with a publication of at least one scientific article from the field of the dissertation in one of the journals from group I - IV, as defined in the FMF Interpretation of the Criteria for Election of University Teachers, Researchers and Research Associates. The candidate should be the first author of the publication. If this is not possible, the supervisor should provide a declaration that the contribution of the candidate to the publication is important.
A detailed syllabus
|ECTS|| Naziv študijske vsebine
|12||Compulsory course of the module||
Organized forms of study
|15||Preparation and presentation of dissertation theme|
|120||Individual research, preparation of doctoral dissertation and defence|
Compulsory courses (group A) with lecturers (regarding modules):
- Selected Topics in Contemporary Physics (12 ECTS) (Prof. dr. Boštjan Golob)
- Selected Topics in Physics Education Research (12 ECTS) (Prof. dr. Gorazd Planinšič)
- Selected Topics in Atmospheric Sciences (12 ECTS) (Assoc. prof. dr. Nedjeljka Žagar)
- Selected Topics in Reactor Physics and Engineering (12 ECTS) (Prof. dr. Iztok Tiselj)
Elective courses (group B) with lecturers:
- Specialized Seminar on Theoretical Physics (12 ECTS) (Assoc. prof. dr. Primož Ziherl)
- Specialized Seminar on Experimental Physics (12 ECTS) (Prof. dr. Denis Arčon)
- Specialized Seminar on Physics Education Research (12 ECTS) (Prof. dr. Gorazd Planinšič)
- Specialized Seminar in Atmospheric Sciences (12 ECTS) (Asst. prof. dr. Gregor Skok)
- Specialized Seminar on Nuclear Physics and Engineering (12 ECTS) (Asst. prof. dr. Luka Snoj)
- Summer schools and other organized education (3-6 ECTS),
- Courses on other UL doctoral programmes or other universities (up to 12 ECTS).
Based on the advisor's proposal, the courses selection is approved by the FMF Department of Physics Study Board.
Syllabus by years:
|Compulsory module course||12||20|
|Preparation of dissertation theme||15||25|
|Course title||ECTS||Share (%)|
|Naziv predmeta|| ECTS
|| Delež (%)
| Dissertation preparation and defence