Authors: Vanessa Prajová*, & Katarína Lestyánszka Škůrková
Published Date: November 10, 2025
Cite: Prajová, V., & Škůrková, K. L. (2025). Business Information Systems for Small and Medium-sized Enterprises. Cryst J Appl Sci. 1(1), 01-05.
Abstract
In today's rapidly changing business environment, information systems are a crucial part of effective organisational management. Their significance is increasing, especially in the context of small and medium-sized industrial enterprises, which face specific challenges. These enterprises encounter intense competition both domestically and internationally, experience pressure to continually innovate their products and services, and must adapt swiftly to ever-changing market conditions. This paper concentrates on analysing and designing an Enterprise Resource Planning (ERP) system for a small or medium-sized enterprise specialising in customised engineering production, which will form the foundation for a future digital ecosystem. The first part of the paper discusses the theoretical definitions of information systems, business processes, and the digital ecosystem within the context of small and medium-sized industrial enterprises. The subsequent section offers a detailed examination of business processes and data flow within an industrial enterprise. It includes a comprehensive analysis of the current state of business processes, involving the creation of process maps that detail individual processes, data flow, and existing software solutions. The implementation section presents the design and deployment of an ERP solution customised for the analysed enterprise. It proposes changes in the pre-production and production stages through the ERP system and the digital transformation management process.
Keywords
Enterprise Resource Planning, Digital Ecosystem, Data, Digitization, Data Flow, Business Processes, Industrial Enterprise
Authors: A. ABIDI
Published Date: November 15, 2025
Cite: ABIDI, A. (2025). Entangled photon-electron following thermo-field dynamics method. Cryst J Appl Sci. 1(1), 01-07.
Abstract
Thermo-field dynamics (TFD) is a method linking quantum information to statistical thermodynamics, focus directly on the state because the states in the tilde space in TFD play a role of tracer of the initial states by defining an extended density matrix described on the double Hilbert space. The study of quantum entanglement is more complicated, so the TFD method makes it easier, this is the subject of this paper. We use Thermo-field Dynamics method to study entanglement entropies and transition probability of a Photon-electron system between equilibrium with heat bath, and non- equilibrium, based on the dissipative von Neumann equation. Numerically, at the equilibrium and by controlling the system through temperature, we show that entanglement entropies verify the Nernst’s theorem. By increasing the quantization of a single-mode electromagnetic field, entanglement, and transition probability decrease. At non-equilibrium, we show that entanglement entropies obey the second law of thermodynamics, and the emission of a photon decrease the probability of detecting the electron at a quantum level.
Keywords
Photon-Electron System, Thermo-Field Dynamics Method, Entanglement, Transition Probability
