Admission requirements
(1) The prerequisite for admission to the university course is proof of
a) a completed ordinary university degree with the degree "MSc" or an equivalent degree successfully completed at a recognised domestic or foreign post-secondary educational institution to the extent of at least 300 ECTS in one of the following disciplines:
i. Physics, whereby the positive completion of lectures and exercises on the teaching content of nuclear and isotope physics totalling 10 ECTS must be demonstrated. These comprise basic knowledge of the phenomenology of nuclear physics, including knowledge of the elementary building blocks of matter. The subject is the structure, general properties, transformations and interactions (radioactivity and nuclear reactions) of atomic nuclei (including the accompanying atomic processes), the methods of their investigation using the most important tools as well as important practical applications in science, medicine and technology;
or
ii. a completed Master's degree or equivalent degree that entitles admission to a PhD programme in a related scientific/technical subject, whereby in addition to the content from nuclear and isotope physics required in i.), the following positively completed course content must be demonstrated:
- Introduction to physics to the extent of 20 ECTS. Proof of colloquial lectures, calculation exercises and demonstration practicals on the basic knowledge of mechanics and the physics of heat. These must include: Mechanics of mass points and of rigid bodies, elasticity, friction, statics and dynamics of fluids, oscillations and waves, temperature, ideal and real gas, phase diagrams, entropy, main laws of thermodynamics, heat conduction, circular processes, electrostatics, capacitors, dielectric polarisation, direct current, alternating current, resistance, electrical conduction in gases, liquids and solids, magnetostatics, magnetic properties of matter, induction, alternating current circuits, electromagnetic oscillations and waves, Maxwell's equations, wave optics, geometrical optics, optical instruments, elements of the theory of relativity.
- 10 ECTS from theoretical physics, covering at least the aspects of theoretical mechanics (Newtonian mechanics, N-body problem (especially N=2), Lagrange formulation, small oscillations, Hamiltonian formulation, rigid bodies) and electrodynamics (field concept and Maxwell's equations, electrostatics and magnetostatics, time-dependent electromagnetic fields, electrodynamics in continuous media, relativistic nature of electrodynamics) and quantum mechanics (matter waves, de Broglie relations, time-dependent and time-independent Schrödinger equation, one-dimensional problems, states and observables, harmonic oscillator, creation and annihilation operators, two-level systems, angular momentum, hydrogen atom, simple perturbation theory, variational methods, scattering theory), provided that the latter content is not already included in the prerequisites mentioned in lit. a) above.
- 5 ECTS from lectures and exercises on computational methods in physics. Course content includes: Functions, vectors, differentiation, integration, Taylor series, complex numbers, error calculus, differentiation of fields, integration of fields, ordinary differential equations.
- 7 ECTS from lectures and exercises on applied linear algebra. Course content includes: Elementary vector calculus - vectors in the plane and in three-dimensional space, vector addition, scalar product, vector product, notation of theoretical physics (summation convention, Kronecker symbol); concept of vector space (over R or C); Basic concepts - linear independence and dependence, subspace, basis; matrices; linear mappings, matrix representation, ker, im, linear functional, dual space; linear systems of equations, Gaussian elimination; determinants; eigenvalues, eigenvectors, characteristic polynomial.
- 8 ECTS from lectures and exercises in applied analysis. Course content includes: Terminology of set theory; natural numbers, rational numbers, real numbers, complex numbers, body axioms; sequences of real numbers, notion of convergence, open and closed subsets of real numbers; notion of function, continuous functions, limits; transcendental functions - trigonometric functions, logarithms, exponential function (real and complex); differential calculus: Differentiability, calculation rules, higher derivatives, maxima and minima; convergence of sequences of functions, o-symbol, o-symbol; integration: concept of integral, main theorem of differential and integral calculus, partial integration, substitution rule, improper integrals; series expansions: Series of real numbers, power series, Taylor's theorem
or alternatively
b) a completed ordinary Bachelor's degree programme or an equivalent degree programme successfully completed at a recognised domestic or foreign post-secondary educational institution amounting to at least 180 ECTS in the field of physics. Proof of positive completion of the course content in "Nuclear and Isotope Physics" according to a) as well as a valid admission to a regular Master's programme in Physics must be provided. For successful completion of the course, proof of successful completion of a regular Master's degree programme in Physics amounting to 120 ECTS must be provided.
(2) Furthermore, knowledge of the English language (equivalent to level C1), which allows the reading of specialised literature and the understanding of subject-specific lectures, is required, as well as computer skills that enable the problem-free use of a teaching and learning platform and the use of literature databases.
(3) The application for admission must be accompanied by a letter of application and a curriculum vitae.
(4) The head of the academic programme checks the suitability of the applicants on the basis of the documents submitted, in particular the letter of application, and, if necessary, a personal interview.
(5) Admission is only possible before the start of the course. The academic course director shall determine the maximum number of participants per course, taking into account the number of places available from a pedagogical and organisational point of view and in accordance with the cost plan. Exceptional cases for admission after the start of the course can only be approved by the curriculum director following a proposal by the course director, provided that proof of completion of equivalent teaching and learning content can be provided.
(6) In accordance with § 70 para. 1 in conjunction with § 51 para. 2 no. 22 UG, participants must apply for admission to the course as non-degree students. The Rectorate shall decide on the admission of course participants on the recommendation of the academic course director in accordance with the number of available study places and the qualifications of the applicants.