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Quantum Tunneling

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Quantum Tunneling: Penetrating the Impenetrable Barrier Quantum Tunneling: Penetrating the Impenetrable Barrier By Md Irfan | 2nd Year Physics (Hons) Presented on National Science Day – 28th February 2023 Introduction Quantum mechanics has revolutionized our understanding of nature at its most fundamental level. Among its most intriguing consequences is the phenomenon of quantum tunneling —a process that defies classical intuition and permits particles to traverse energy barriers that should be insurmountable. This principle underlies a broad spectrum of physical phenomena, from nuclear fusion in stars to the operation of nanoscale devices, and has far-reaching implications in both theoretical physics and practical technology. Theoretical Foundation: Mathematical Framework Let us examine the situation of a non-relativistic particle of mass m, approaching a potential barrier of height V_0 and width a. Classically, if the energy E Potential Profile \[ V(x...
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Scientificirfan Biography

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Scientific Irfan – Biography Scientific Irfan is an emerging physicist, educator, and science communicator from Patna, Bihar, India. Currently pursuing his Master of Science in Physics at the Indian Institute of Technology (IIT) Guwahati (2024–2026), Irfan is known for his deep curiosity about the universe, innovative teaching style, and commitment to making science accessible. Early Inspiration and Education Irfan’s fascination with the cosmos began in childhood, when he would gaze at the night sky and wonder: “How do these astronomical objects exist?” and “Who created the universe?” Encouraged by a nurturing school teacher, he pursued a BSc in Physics at Patna Science College, Patna University, graduating in 2024 with distinction (CGPA: 8.2/10). He excelled in advanced topics such as Quantum Mechanics, Electrodynamics, and Mathematical Physics. During this time, he conducted a research project on quantum tunneling and created award-winning ...
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The Ultimate Approach To Solve Differential Equation

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The Ultimate Approach To Solve  Differential Equation  "Differential equations are the loom of physics, weaving the threads of mathematics into the fabric of the universe". ----- Scientificirfan                         Introduction  Differential equations are one of the most common topics in physics and they are one of the most powerful mathematical tools in physics. In this article i am going to provide an effective and the best possible approach of solving the differential equations provided that you are familiar with some commonly used differential equations in physics and mathematics. From the oscillations of a pendulum to the dynamics of galaxies, differential equations serve as the mathematical language of nature. They help us describe, predict, and understand the laws governing the nature around us. This article aims to present an ultimate, systematic approach to solving differential equations,...
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The World Of Quantum Mechanics

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    The World Of Quantum Mechanic " Those who are not shocked when they first come across quantum theory cannot possibly have understood it." - Niels Bohr 1.             Introduction: Quantum mechanics is totally a different field of science filled with lots of maths, uncommon things and mind blowing phenomena. The word quantum means 'the smallest unit' of some particular physical objects or properties like energy for instance.It is one of the most powerful subject of physics due to its vast and enormous applications in the modern digital, medical, astronomy, almost everywhere and i will tell you later on how . 2.     What actually is quantum mechanics? "In the simplest terms, quantum mechanics is a branch of physics in which we study about the wave-particle dual nature of microscopic particles and their dynamics". I know it's quite fuzzy to get it but don't worry i will simplify this explanation as much as possibl...
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