M.Sc. in Modern Physics

Our Computational Modern Physics program provides students with the skills needed for contemporary quantum challenges. From quantum algorithm development to proficiency in mathematical modeling and quantum simulations, graduates gain expertise in solving complex quantum problems. Students also learn about quantum hardware architectures, problem-solving, critical thinking, and research proficiency. Emphasizing interdisciplinary collaboration and ethical conduct, students are prepared for academic or industry careers in quantum computing, computational physics, subatomic physics, and other related interdisciplinary fields with a commitment to adaptability and lifelong learning. Additionally, graduate assistantships are available.

Course Structure

M.Sc. in Modern Physics is a 2 years program, and it includes four semesters with 122 ECTS credits.

Classes are expected to be held three times a week in the morning and afternoon. Please note that the schedule is subject to change.

First Year
Semester	Course Code	Course	Course Type	ECTS Credits
Semester 1	PHYS610	Mathematical Methods For Physics	Core	8
	PHYS620	Theoretical Mechanics	Core	8
	PHYS641	Electrodynamics	Core	8
	GRAD603	Research Methods	Core	6
Semester 2	PHYS651	Quantum Mechanics I	Core	8
	PHYS719	Solid State Physics and Electronics Properties	Core	8
	PHYS631	Statistical Methods	Core	6
	PHYS612	Numerical Methods For Physics I	Core	4
	PHYS751	Research Seminar Series (Guided Study)	Core	4
Total Credits				60

Second Year
Semester	Course Code	Course	Course Type	ECTS Credits
Semester 3	PHYS652	Quantum Mechanics II	Core	8
	PHYS741	Quantum Optics & Quantum Information Processing	Core	8
	ECON640	English For Academic Purposes	Core	6
	PHYS613	Numerical Methods For Physics II	Core	4
	PHYS751	Research Seminar Series (Guided Study)	Core	4
Semester 4	PHYS780	Master Thesis	Core	14
		Elective 1	Elective	8
		Elective 2	Elective	8
Total Credits				60

Program's Total Credits

120

Elective Course Options
Course Code	Course	ECTS Credits
PHYS666	Quantum Many-Body Systems	8
PHYS750	Nuclear Astrophysics	8
PHYS731	Quantum Computing Architectures & Algorithms	8

Course Descriptions

Course Code	Course	ECTS Credits	Description
PHYS610	Mathematical Methods for Physics	8	This course provides the essential mathematical tools required for advanced study in theoretical physics. Topics include complex analysis, advanced differential equations, Green’s functions, group theory, and tensor calculus. The curriculum emphasizes the practical application of these methods to solve complex problems across various fields, including quantum mechanics, electrodynamics, and general relativity.
PHYS620	Theoretical Mechanics	8	This course presents a rigorous formulation of classical mechanics from an advanced theoretical perspective. It covers the principles of Lagrangian and Hamiltonian dynamics, variational principles, canonical transformations, and rigid body motion. The course establishes the foundational framework essential for a deep understanding of modern physics, including quantum field theory and statistical mechanics.
PHYS641	Electrodynamics	8	This course offers a comprehensive study of classical electrodynamics based on Maxwell’s equations. Key topics include the theory of electromagnetic waves, radiation from accelerating charges, and relativistic electrodynamics. The course focuses on advanced problem-solving techniques and explores the applications of electrodynamics in areas such as wave propagation and plasma physics.
PHYS651	Quantum Mechanics I	8	This course introduces the fundamental principles and mathematical formalism of quantum mechanics. It begins with the core postulates of wave mechanics, exploring their application to foundational problems such as the harmonic oscillator and the hydrogen atom. The course also develops the theory of angular momentum, spin, and the formalism of matrix mechanics.
PHYS652	Quantum Mechanics II	8	As a continuation of Quantum Mechanics I, this course delves into advanced topics and approximation methods. The curriculum covers time-independent and time-dependent perturbation theory, scattering theory, and the physics of identical particles, including the Pauli exclusion principle and Bose-Einstein statistics. These concepts are applied to problems in atomic physics and quantum collisions.
PHYS631	Statistical Mechanics	6	This course provides a theoretical framework for connecting the microscopic properties of systems with their macroscopic, observable behavior. It covers the principles of equilibrium statistical mechanics, including ensembles and thermodynamics. The course also introduces non-equilibrium phenomena, such as the Boltzmann transport equation, Brownian motion, and hydrodynamics.
PHYS612	Numerical Methods for Physics I	4	This first part introduces the essential numerical tools for physicists, focusing on techniques other than PDEs. Topics include error analysis, interpolation, numerical differentiation and integration, nonlinear root-finding, and linear algebra solvers for large systems. The course also covers numerical methods for ordinary differential equations, addressing stability, stiffness, and boundary-value problems. Students develop both theoretical understanding and hands-on coding experience with these core techniques.
PHYS613	Numerical Methods for Physics II	4	The second part is devoted to the numerical solution of partial differential equations across physics. It covers the classification of PDEs and explores finite-difference, finite-volume, and finite-element methods for elliptic, parabolic, and hyperbolic problems. Stability, convergence, and accuracy are emphasized, alongside modern approaches such as spectral and adaptive methods. Applications range from simple diffusion and wave equations to nonlinear conservation laws relevant in astrophysics and fluid dynamics.
PHYS666	Quantum Many-Body Systems	8	This course explores the collective behavior of interacting quantum particles, a central topic in modern condensed matter physics. Students will study correlation structures, entanglement, and the properties of quantum ground states. The course introduces powerful theoretical tools for describing complex many-body systems, including tensor networks and renormalization group methods.
PHYS719	Solid State Physics and Electronic Properties	8	This course investigates the fundamental principles governing the physical properties of solids. Topics include crystal structures, lattice vibrations, and the theory of electronic bands. A primary focus is placed on understanding the origins of electrical conductivity, magnetism, and superconductivity, connecting theoretical models to modern applications in electronic materials and devices.
PHYS741	Quantum Optics and Quantum Information Processing	8	This course examines the interaction of light and matter at the quantum level and its application to information science. Topics include the quantum states of light, photon statistics, entanglement, and quantum teleportation. The curriculum bridges fundamental quantum theory with its applications in emerging technologies such as quantum communication and cryptography.
PHYS731	Quantum Computing Architectures and Algorithms	8	This course provides a comprehensive introduction to the theory and practice of quantum computation. It covers the fundamentals of quantum gates, circuits, and key quantum algorithms like Shor’s and Grover’s. The course also explores quantum error correction and examines the physical systems and architectures being developed to realize scalable quantum computers.
PHYS751	Research Seminar Series (Guided Study)	4	This course is designed to develop the professional skills required for a career in scientific research, with a strong focus on conducting research work related to the master’s thesis. Students will engage with current research literature, learn to critically analyze scientific papers, and integrate insights directly into their own thesis projects. They will also practice presenting complex topics to a specialist audience, while the seminar format fosters discussion and prepares students for independent research and potential doctoral studies.
PHYS750	Nuclear Astrophysics	8	This course explores the nuclear processes that govern the evolution of stars and the origin of the elements. It covers topics such as nucleosynthesis, energy generation in stars, supernovae, neutron stars, and the role of nuclear physics in cosmology. The course integrates theoretical models with observational data to provide a complete picture of the universe's chemical history.
GRAD603	Research Methods	6	This course covers the methodologies and ethical principles of scientific research. It focuses on formulating research questions, conducting literature reviews, designing experiments, and analyzing data. The curriculum emphasizes the practical skills of scientific writing and presentation required for the Master's thesis and a career in research.
ECON640	English For Academic Purposes	6	This course develops the advanced English language skills essential for graduate study. The curriculum focuses on academic writing, critical reading of scientific literature, and effective presentation of research. Students will practice producing clear scholarly texts and engaging in academic discussions within their discipline.

Entry requirements

Bachelor degree from an accredited institution (minimum 180 ECTS credits) or a higher academic qualification.

Entrance Exam

The entrance exam will be in written form in physics and mathematics. The candidates are expected to know the general physics and mathematics content of a typical undergraduate physics program in Uzbekistan.

Mathematics Exam: Written exam with 5 problems covering calculus, linear algebra, differential equations, and probability. The exam is scored out of 100.

Physics Exam: Written exam with 5 problems covering classical mechanics, electromagnetism, quantum mechanics, and thermodynamics. The exam is scored out of 100.

English language requirements

High proficiency in the English language as evidenced by one of the below
- IELTS 5.5 or higher
- TOEFL iBT 46 or higher
Note: We accept only the TOEFL iBT taken at approved test centers. We do not accept the TOEFL iBT Home Edition.
- CEFR B2 (51-55)
-Applicants who have completed their bachelor's degree entirely in English do not need to provide any additional proof of language proficiency.

Calculator Policy

Allowed:

Standard calculators
Simple calculators
Non-graphic calculators

Not Allowed:

Models with internet access or wireless connectivity (Bluetooth, cellular, etc.)
Models with audio/video recording or playback, cameras, or smartphone-like features
Models with a computer-style (QWERTY) keyboard, pen input, or stylus
Models requiring an electrical outlet, making noise, or using paper tape
Programmable calculators
Calculators capable of plotting functions

Exam Date and Deadline for Registration

Exam Date	Deadline for Registration
26th April	18th April
14th June	6th June
23rd August	15th August

Fees and Funding

Tuition Fee for 2025/2026 Academic Year
Local students	15 000 000 UZS per academic year
International students	$ 2 200 USD per academic year

Career Perspectives

The career perspectives for a master's graduate in computational quantum physics are quite promising, given the interdisciplinary nature of the field that blends quantum physics, computer science, and mathematics. This specialization prepares graduates for roles in academia, research, and various industries that are starting to harness quantum technologies. Here are some potential career paths and opportunities:

1. Academic and Research Institutions

- Research Scientist: Conducting research in quantum algorithms, quantum computation, and other quantum technologies.
- Postdoctoral Researcher: After completing a master's degree, you might pursue a Ph.D. and then a postdoctoral position to deepen your research experience.
- Lecturer or Professor: With further qualifications, teaching at universities or colleges is a viable path.

2. Quantum Computing Companies
- Quantum Algorithm Developer: Designing algorithms that run on quantum computers to solve specific problems faster than classical computers.
- Quantum Software Developer: Developing software for quantum computing platforms, including simulation tools and programming languages specific to quantum computing.
3. Technology and Engineering Companies
- Quantum Engineer: Working on the development of quantum computing hardware, including superconducting qubits, ion traps, or photonics.
- Data Scientist or Analyst: Applying quantum computing techniques to big data analytics and machine learning models to solve complex problems.
4. Consultancy and Financial Services
- Quantum Computing Consultant: Advising companies on the implementation and benefits of quantum computing technologies in their business models.
- Financial Analyst: Utilizing quantum algorithms for financial modeling, optimization problems, and risk analysis.

Skills and Attributes

To excel in these roles, a solid foundation in quantum mechanics, programming (especially in languages like Python and Q), and a strong grasp of mathematical concepts are essential. Soft skills such as teamwork, problem-solving, and effective communication are also crucial in interdisciplinary teams.

As quantum technologies continue to evolve, the demand for experts in computational quantum physics is expected to grow. Keeping up-to-date with the latest research, tools, and technologies in this rapidly advancing field is vital for a successful career. Networking, attending conferences, and contributing to open-source projects can also enhance career prospects.

Apply

To proceed with your application for the M.Sc. in Modern Physics, please access the application form via the link provided below. Ensure you have gathered all required documentation, such as academic records and language proficiency test results, prior to beginning your application. Adhere to all instructions to guarantee the completeness and accuracy of your submission. For queries or assistance, contact our admissions office. We are committed to supporting you throughout the application process.

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M.Sc. in Modern Physics