What is the difference between probability and probability density of finding a particle in space?
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Confusion about probability of finding a particle. The wave representation of a particle is said to be ψ(x,t)=Aexp[i(kx−ωt)]. The probability of the particle to be found at position x at time t is calculated to be |ψ|2=ψψ∗ which is √A2(cos2+sin2).
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A wave function in quantum mechanics is a description of the quantum state of a system. The wave function is a complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it. .The state of such a particle is completely described by its wave function Ψ(x,t). So it’s the Solutions of Schrodinger Equation
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