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THEORETICAL FOUNDATIONS OF QUANTUM MECHANICS AND CURRENT ISSUES IN ITS TEACHING METHODOLOGY

V.F. Nematov K.R. Sattarkulov

Published Apr 21, 2026• 0 citations
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Abstract

This article analyzes the scientific problems that arose at the end of the 19th and the beginning of the 20th centuries due to the limitations of classical physics, in particular the issues of measuring the speed of light and the radiation of a blackbody. The article highlights the concept of quantization proposed by M. Planck and its significance in resolving these problems. The formation of quantum mechanics, its main concepts, its role in describing the laws of motion of micro-objects, and its connection with classical mechanics are discussed in detail. Furthermore, the article examines the fundamental concepts of quantum mechanics — discreteness, wave-particle duality, and the significance of Planck’s constant. The article also addresses the challenges in teaching quantum mechanics and ways to overcome them, including the effectiveness of using the case-study method.

DOI
10.5281/zenodo.19674896

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This article analyzes the scientific problems that arose at the end of the 19th and the beginning of the 20th centuries due to the limitations of classical physics, in particular the issues of measuring the speed of light and the radiation of a blackbody. The article highlights the concept of quantization proposed by M. Planck and its significance in resolving these problems. The formation of quantum mechanics, its main concepts, its role in describing the laws of motion of micro-objects, and its connection with classical mechanics are discussed in detail. Furthermore, the article examines the fundamental concepts of quantum mechanics — discreteness, wave-particle duality, and the significance of Planck’s constant. The article also addresses the challenges in teaching quantum mechanics and ways to overcome them, including the effectiveness of using the case-study method.
This article analyzes the scientific problems that arose at the end of the 19th and beginning of the 20th centuries due to the limitations of classical physics, particularly the issues of measuring the speed of light and the radiation of a blackbody. This article highlights the concept of quantization proposed by M. Planck and its significance in resolving these problems. The formation of quantum mechanics, its main concepts, its role in describing the laws of motion of micro-objects, and its connection with classical mechanics are discussed in detail in this section. Furthermore, this article examines the fundamental concepts of quantum mechanics: discreteness, wave-particle duality, and the significance of Planck’s constant. This article also addresses the challenges of teaching quantum mechanics and ways to overcome them, including the effectiveness of using the case study method.
This chapter traces the origins of quantum mechanics. The classical mechanics developed by Isaac Newton in the seventeenth century is an extraordinarily successful theory for describing the motion of everyday objects and planets. However, late in the nineteenth century, scientists started to make observations that could not be explained by classical mechanics. They were forced to revise their entire conception of the nature of matter and replace classical mechanics by a theory that became known as quantum mechanics. The chapter begins by looking at energy quantization, considering black-body radiation, heat capacity, and atomic and molecular spectra. It then discusses wave–particle duality, which is the recognition that the concepts of particle and wave blend together.
By the beginning of the twentieth century, classical physics had accumulated many contradictions that could only be resolved by changing the main concepts of space and time (Einstein’s theory of relativity, Chapter P1) and the laws of motion of particles on atomic scales (quantum mechanics). The first quantum concepts appeared at the very beginning of the century (Planck’s formula for thermal radiation and Einstein’s formula for photoeffect, Chapter P5), but quantum mechanics as a closed science was not constructed until the end of the 1920s.
This chapter examines the historical development of quantum mechanics, focusing on key experiments and theories that challenged classical physics. It begins with blackbody radiation, highlighting the discrepancy between classical predictions and experimental observations, leading to Planck's quantization hypothesis, which posits that energy is emitted in discrete packets (quanta). The chapter covers the photoelectric effect and Compton scattering, demonstrating wave–particle duality and validating quantum theory. It also discusses atomic models, culminating in the Bohr model and the energy-level diagram of the hydrogen atom, which explains atomic phenomena such as line spectra and discrete energy transitions. The chapter concludes by introducing the quantum model, which supersedes the Bohr model by incorporating wave–particle duality and the uncertainty principle, highlighting the necessity of quantum mechanics for accurate atomic-scale descriptions.
The beginning of the 20th century is marked by tremendous new scientific developments and specifically by the birth of quantum mechanics. It starts with Max Planck and Max Einstein, who introduce and apply the concept of quanta to characterize the energy of light. Quantum computers can considerably decrease the time it takes to complete calculations and solve extremely complex problems. Until the 18th century, very little is understood about light. According to the philosophers Euclid and Plato, light is produced by our eyes. Light is clearly capable of traveling through an interstellar void, while a wave needs a medium for material propagation to exist. However, because of Isaac Newton’s reputation, the corpuscular theory persists until the 19th century. When light is beamed on the top layer, it frees and pushes an electron that moves towards the bottom layer, creating a current. This current is then used to power engines for electric cars.
This narrative review traces the conceptual and experimental evolution of quantum mechanics, beginning from the inadequacies of classical physics to explain phenomena like blackbody radiation and the photoelectric effect. It highlights pivotal developments, including Planck?s quantum hypothesis, Einstein?s photon theory, Bohr?s atomic model, and the establishment of wave-particle duality through de Broglie and Schr?dinger?s work. The review also delves into the philosophical implications of quantum theory, including the observer effect, uncertainty principle, and quantum entanglement. Through a cohesive historical lens, the article articulates the transformative journey of quantum mechanics into a fundamental pillar of modern physics.