Poisson's equation relates "the Laplacian of the potential to the local charge density." If a potential function obeys Poisson’s equation and satisfies the known boundary conditions it is the only solution to a problem : uniqueness theorem.
Poisson's equation is an elliptic partial differential equation. Solving Poisson's equation for the "potential" requires knowing the charge density distribution. If the charge density is zero, then Laplace's equation results. If the charge density follows a Boltzmann distribution, then the Poisson–Boltzmann equation results. Some technique for guessing (and then verifying) the solution to Poisson’s equation are The Method of Images, Separation of variables & Green's function.
In layman's terms, we can use Poisson's equation to describe the static electricity of an object. The entire subject of electrostatics from a mathematical point of view, is merely a study of the solutions of the Poisson's equation. ✨
Poisson's equation is an elliptic partial differential equation. Solving Poisson's equation for the "potential" requires knowing the charge density distribution. If the charge density is zero, then Laplace's equation results. If the charge density follows a Boltzmann distribution, then the Poisson–Boltzmann equation results. Some technique for guessing (and then verifying) the solution to Poisson’s equation are The Method of Images, Separation of variables & Green's function.
In layman's terms, we can use Poisson's equation to describe the static electricity of an object. The entire subject of electrostatics from a mathematical point of view, is merely a study of the solutions of the Poisson's equation. ✨
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Forwarded from Schrodinger's Cat
Media is too big
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Bound & free at the same time - Asymptotic freedom !
David Gross, David Politzer and Frank Wilczek shared the Nobel prize in 2004 for the discovery of asymptotic freedom in the theory of the strong interaction.
David Gross, David Politzer and Frank Wilczek shared the Nobel prize in 2004 for the discovery of asymptotic freedom in the theory of the strong interaction.
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Why are we afraid of death?
Source: Knowing the Inner Self (Krishnamurti)
Meaning: Replace your hope
Do you think a leaf that falls to the ground is afraid of death? Do you think a bird lives in fear of death? When death comes, she accepts it with grace and does not worry about it. She spends her life living, hunting insects, building nests, singing, flying just because it's fun to fly. Have you ever seen birds flying without flapping their wings, just being pushed by the wind? What a shame you are doing! They don't worry about death. If death comes, it is good. no more. They live carefree, don't they? We humans always worry about death when we live. So we are not living; But we are dying. Old people are close to their graves. Young people are not far away.
Death threatens us because we are afraid of losing what we know, what we have gathered. We are afraid of losing our husband or wife, our child or our friends; We are afraid of losing what we have learned, what we have accumulated. If we could take with us all that we have collected—our friends, our possessions, our manners—we would not fear death. That is why we develop theories about death and what comes after. But the reality is that death is certain. Most of us don't want to break away from the familiar. The fact that we are confused with what is known has created fear in us. The unknown is not seen by the known. But the conventionally constructed mind says, "It's about to end" - and so it's afraid.
If you can live in the present moment without worrying about tomorrow, without thinking about tomorrow - this does not mean that you are only preoccupied with today - if you know the whole process of the known, you will leave the known and notice something wonderful happening. Try it for a day - throw away everything you know, put it down and see what happens. Don't carry your worry around from day to day, hour to hour, moment to moment, shake it off. This time you will see the birth of a life very different from that freedom, consisting of life and death. Death is the end of something. And after the end there is renewal.
#Philosophy
• @LifeSprk
Source: Knowing the Inner Self (Krishnamurti)
Meaning: Replace your hope
Do you think a leaf that falls to the ground is afraid of death? Do you think a bird lives in fear of death? When death comes, she accepts it with grace and does not worry about it. She spends her life living, hunting insects, building nests, singing, flying just because it's fun to fly. Have you ever seen birds flying without flapping their wings, just being pushed by the wind? What a shame you are doing! They don't worry about death. If death comes, it is good. no more. They live carefree, don't they? We humans always worry about death when we live. So we are not living; But we are dying. Old people are close to their graves. Young people are not far away.
Death threatens us because we are afraid of losing what we know, what we have gathered. We are afraid of losing our husband or wife, our child or our friends; We are afraid of losing what we have learned, what we have accumulated. If we could take with us all that we have collected—our friends, our possessions, our manners—we would not fear death. That is why we develop theories about death and what comes after. But the reality is that death is certain. Most of us don't want to break away from the familiar. The fact that we are confused with what is known has created fear in us. The unknown is not seen by the known. But the conventionally constructed mind says, "It's about to end" - and so it's afraid.
If you can live in the present moment without worrying about tomorrow, without thinking about tomorrow - this does not mean that you are only preoccupied with today - if you know the whole process of the known, you will leave the known and notice something wonderful happening. Try it for a day - throw away everything you know, put it down and see what happens. Don't carry your worry around from day to day, hour to hour, moment to moment, shake it off. This time you will see the birth of a life very different from that freedom, consisting of life and death. Death is the end of something. And after the end there is renewal.
#Philosophy
• @LifeSprk
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Cosmic accidents
In order to create life, our planet must have been relatively stable for hundreds of millions of years. But a world that is stable for hundreds of millions of years is astonishingly difficult to make. Start with the way atoms are made, with the fact that a proton weighs slightly less than a neutron. This means that neutrons eventually decay into protons, which occupy a lower energy state. If the proton were just 1 percent heavier, it would decay into a neutron, and all nuclei would become unstable and disintegrate. Atoms would fly apart, making life impossible.
Do you think everything in the universe is created in accident or is there a grand designer to our universe?👇👇 give your idea in the comment box.
#CosmicAccidents
• @LifeSprk
In order to create life, our planet must have been relatively stable for hundreds of millions of years. But a world that is stable for hundreds of millions of years is astonishingly difficult to make. Start with the way atoms are made, with the fact that a proton weighs slightly less than a neutron. This means that neutrons eventually decay into protons, which occupy a lower energy state. If the proton were just 1 percent heavier, it would decay into a neutron, and all nuclei would become unstable and disintegrate. Atoms would fly apart, making life impossible.
Do you think everything in the universe is created in accident or is there a grand designer to our universe?👇👇 give your idea in the comment box.
#CosmicAccidents
• @LifeSprk
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My bestie: How do you tell someone "you're very stupid" politely?
Me: wisdom has been chasing you, but you have always been faster😂😂
Me: wisdom has been chasing you, but you have always been faster😂😂
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Someone: How lazy are you?
Me: Whenever I meet someone, i don't say Hello, I just raise my eyebrows.😎😁
Me: Whenever I meet someone, i don't say Hello, I just raise my eyebrows.😎😁
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