Erwin Schrödinger was a physicist and a father of quantum mechanics. Quantum mechanics deals a lot with probability. His famous Schrödinger equation, which deals with how the quantum state of a physical system changes in time, uses probability in how it deals with the local conservation of probability density. For more information, please see the Related Link below.
The time-independent Schr
P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).
To the extent that I can make any sense of the question: Yes, the probability function for an s orbital is spherically symmetric and dependent on radial distance only.
its easy idiots, you use it when guessing :)
it is important to understand probability you may lose a good chance of winning something if you dont get or use probability at that time
The time-independent Schr
The probability of finding electrons in an atom is determined by the Schrödinger equation, a fundamental equation of quantum mechanics. This equation describes the wave function of the electron, from which the probability density of finding the electron in a particular region of space can be calculated.
Schrodinger did not actually have a cat. The "Schrodinger's cat" thought experiment was created by physicist Erwin Schrodinger to illustrate the concept of superposition in quantum mechanics.
The conservation of probability in quantum mechanics is a consequence of the time-independent Schrödinger equation. For a normalized wavefunction Ψ(x), the conservation of probability is guaranteed by the fact that the total probability density, |Ψ(x)|^2, remains constant over time according to the continuity equation ∇·j = -∂ρ/∂t, where j is the probability current density and ρ is the probability density.
P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).
Schrodinger's atomic model, also known as the quantum mechanical model, was better than Niels Bohr's model because it was more accurate in describing the behavior of electrons in atoms. Schrodinger's model treated electrons as waves rather than particles, allowing for a more comprehensive understanding of their behavior in complex systems. Additionally, Schrodinger's model was able to describe the probability distribution of finding an electron in a particular region around the nucleus, providing a more detailed picture of atomic structure.
The Wave function (psi) is just used as an identifier that the particle exhibits wave nature. Actually the square of the wave fn (psi2 ) - the probability amplitude- is the real significant parameter. The probability amplitude gives the maximum probability of observing the particle in a given region in space.
Schrodinger agrees with Heisenberg's principle by acknowledging the inherent uncertainty and indeterminacy in quantum mechanics. He recognizes that the more precisely we know a particle's position, the less precisely we can know its momentum, and vice versa, as described by Heisenberg's uncertainty principle. Schrodinger's wave equation successfully describes the probability distribution of a particle's position, reflecting this uncertainty.
To the extent that I can make any sense of the question: Yes, the probability function for an s orbital is spherically symmetric and dependent on radial distance only.
Heisenberg's Uncertainty Principle introduced the concept of inherent uncertainty in measuring both the position and momentum of a particle simultaneously. This influenced Schrodinger to develop a wave equation that could describe the behavior of particles in terms of probability waves rather than definite trajectories, allowing for a more complete description of quantum systems. Schrodinger's wave equation provided a way to predict the behavior of quantum particles without violating the Uncertainty Principle.
The Schrodinger equation is from January 1926.
Schrodinger