Author: Tru Physics
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Hamiltonian (Quantum Mechanics)
Introduction Quantum mechanics, with its blend of abstract concepts and mathematical formalism, has been the cornerstone of our understanding of the microscopic world. The Hamiltonian, named after physicist Sir William Rowan Hamilton, plays a central role in this theory, acting as the generator of time evolution in quantum systems. The Hamiltonian in Classical and Quantum…
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Green’s Function
Introduction In the expansive universe of mathematical physics, Green’s functions play an essential role. While the concept may seem abstract, a closer look reveals that Green’s functions offer us a way to solve some of the most complex problems in physics with elegant precision. Definition of Green’s Function Green’s function is defined as the impulse…
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Cathode
Introduction In the world of electricity and electronics, the cathode plays an integral role. Its function may seem straightforward, but understanding the complex physics at work within this humble component can unlock a deeper appreciation for its crucial place in the realm of electric current. The Basic Role of a Cathode In a device that…
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Anode
Introduction An anode is an essential component in many electrical and electronic devices. Its role in the flow of electric current might seem simple, but the underlying physics paints a complex and fascinating picture. The Basic Role of an Anode In a device that consumes electric power, like a battery or an electrolytic cell, the…
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Planetary Nebula
The phrase “planetary nebula” is a bit of a misnomer as it doesn’t actually have anything to do with planets. Instead, planetary nebulae are fascinating and colorful astronomical objects, formed when stars similar to our Sun reach the end of their lives, showcasing the incredible artistry of the universe. Introduction to Planetary Nebulae Planetary Nebulae…
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Dark Sky Paradox
Unveiling the Paradox The Dark Sky Paradox, also known as Olbers’ Paradox, is a historical puzzle named after the German astronomer Heinrich Wilhelm Olbers, who described it in 1823. The paradox questions why the night sky is dark instead of bright, given that there are countless stars in the universe. Theoretical Explanation If we assume…
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Blackbody Radiation
Understanding Blackbody Radiation A black body in physics is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. The radiation emitted by such a body, known as blackbody radiation, is a fundamental concept in quantum mechanics and thermodynamics. Blackbody Radiation Spectrum The radiation from a black body…
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Angular Velocity
Introduction Angular velocity is a key concept in rotational dynamics, a subfield of physics dealing with the movement of bodies around a pivot point. Essentially, it is the rate of change of an object’s angular displacement over time. Defining Angular Velocity Angular velocity is usually denoted by the Greek letter . In its simplest form,…
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The Jahn-Teller Effect
Overview The Jahn-Teller Effect, named after Hermann Arthur Jahn and Edward Teller, is a distortion in the geometric configuration of a molecule that results in a lower overall energy state. This effect is typically observed in molecules and ions with a degenerate electronic ground state. Introduction to Symmetry and Degeneracy Before delving into the Jahn-Teller…
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Van de Graaff Generator
Introduction The Van de Graaff generator is a device designed to produce high voltages. Invented by American physicist Robert J. Van de Graaff in the 1930s, it has been used for many purposes, including as a particle accelerator in nuclear physics research. Basic Working Principle The fundamental principle behind the Van de Graaff generator is…