Concepts and problems in Quantum Mechanics. Lecture-I

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Concepts and problems in Quantum Mechanics. Lecture-I, Schrodinger Equation. A long and technical discourse on Quantum Wave Function. A 64 slide presentation styled discourse on the Quantum Wave Function. It consists of detailed solution of 5 important and interesting problems, apart from a threadbare discussion of the concepts.

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My PhD Thesis as I presented in my Preliminary Exam. Manmohan Dash, Virginia Tech A detailed description of the content in these slides are given in the linked article below. This I have quite more prepared for the layman in mind. So even if you are not versed in the intricate technical depth of particle physics, you are welcome to barge and enjoy my personal experiences as a particle physicist, as I was a decade ago and also you might enjoy some of the lay man explanation of the particle physics phenomena explained here. http://mdashf.org/2015/06/09/my-phd-thesis-preliminary-exam/

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Concepts and Problems in Quantum Mechanics, Lecture-II By Manmohan Dash

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Photography is based on the detection of photons. Photons are easy to misinterpret as these are a bunch of special quantum. They are not like other quantum mechanical particles. eg they are NOT electrons. How is a photon different from an electron while both electrons and photons are dual entities? That is they are both to be realized as wave as well as particles? Here is the most basic elucidation of their properties. A photon is more like a wave even if its both wave and a particle. An electron is more like a particle even if its both wave and a particle. That is basically so because the photons never carry mass, and as a consequence their speed is always as high as it can be, which is found to be 300,000 km per second. Its erroneous to call photon's REST frame into consideration for that reason. Its not a particle if we are to think classically, particles must carry mass and by effect of their mass, momentum. But while they are mass-less they do have momentum. This property is described in one article on my website, which I will find and link, if you are interested. But to the contrary the electron does have some mass even when its at rest. (Photon can never attain rest and can never attain mass, it can only have momentum and energy as long as its single and traveling in vacuum). So one can bring the electron to rest in some way. How does that affect photography? The basic laws of nature are different for electrons and photons for this reason. The very uncertainty principles that we chose to describe the electrons must first be changed in a special way before they can be applied on the photon. The difference is electron being more particle like due to its possible slower motion, does not describe the photon as the latter is never a slower candidate. Hence the Non-relativistic forms of Uncertainty Relation are to be changed into the Relativistic Uncertainty Relation. Only then photography can be properly understood. In this special latter case of photon, the regular momentum-position uncertainty relation is no longer valid. How can you describe the photon, which never comes to rest; with "its" POSITION? It does not have a position. Hence position-momentum uncertainty is to be changed. Its recast-able into a speed-momentum (and position-energy etc) form. A form which I have worked out in much detail in one of my research work, available on my website (mdashf.org) Hence a constant speed results in a blurred momentum, a blurred energy and a blurred position. Depending on various other parameters such as time, the probability patterns of a camera image changes depending upon the relative motion between observed and observer (camera and object whose image is taken) Due to relative motion between camera and object (such as a bird) one is definitely going to get a blurred image. This is the reason the moving parts of a body whose picture is being taken might produce a fuzzy image while the parts that are still, always produces a sharp image.

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The Physics of electromagnetic waves, a discourse to engineering 1st years. "Lets discover what electromagnetic phenomena are entailed by the Maxwell’s equations. Electromagnetic Waves are a set of phenomena broadly categorized as “Gamma rays, X-rays, Ultraviolet Rays, Visible light, Infra-red Rays, Microwaves and Radio waves. We will discuss them from the perspective of Maxwell’s equations."

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Why prices and stocks get inflated? Lets give it a natural reason. They get inflated for the same reason our age and our height get inflated. Can we keep ourselves the same size or same age? No. We can't keep our prices at the same value. Its not the number that changes. Its the value that does. Numbers are merely information, they can be manipulated. We can generate a facade and show that there is no price inflation, like the one Governments do to survive. But there are much bigger forces that are acting underneath the objects and their value. A fact which is even advantageous to black marketeers as they get a gold deal of camouflage from the subversive nature of the complexity.

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We discussed most of what one wishes to learn in vector calculus at the undergraduate engineering level. Its also useful for the Physics ‘honors’ and ‘pass’ students. This was a course I delivered to engineering first years, around 9th November 2009. But I have added contents to make it more understandable, eg I added all the diagrams and many explanations only now; 14-18th Aug 2015. More such lectures will follow soon. Eg electromagnetism and electromagnetic waves !

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Photography, or rather, digital photography seems to have become a way of life. Today, about 2 billion photos are uploaded every day to various sites like Flickers, Facebook, Instagram, and many others. Imagine that - 2 billion uploads on a daily basis! Wow! What if you know that you can start shooting photos or selfies that are really appealing to the eyes, and you can do just that without having necessarily to buy or use any of the expensive cameras and equipment? Well, here’s the good news! The truth is you can! In this deck, you will learn about the most basic (which is also most important) concepts of digital photography. Once you begin to grasp these fundamental ideas, you can really start getting creative on improving the aesthetics of your photos (while your friends can start marveling over what they see.)

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