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chunhui219
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if the wave function ψ(x)=R(x)eikx
then what is it conjugate, ψ*?
then what is it conjugate, ψ*?
chunhui219 said:if the wave function ψ(x)=R(x)eikx
then what is it conjugate, ψ*?
The conjugate of a wave function is the complex conjugate of the wave function, which represents the probability amplitude of a particle being at a particular position in space. It is denoted by the asterisk symbol ( * ) and is used to calculate the probability density of a particle.
The conjugate of a wave function is calculated by taking the complex conjugate of the wave function, which involves changing the sign of the imaginary part of the function. For example, if the wave function is f(x) = 3 + 4i, the conjugate wave function would be f*(x) = 3 - 4i.
The conjugate of a wave function has physical significance as it gives the probability density of a particle at a specific position in space. It is used in the calculation of the expectation value of physical observables, such as position, momentum, and energy.
No, the conjugate of a wave function is a complex number. It is the complex conjugate of the wave function, which means it involves both a real and imaginary part. The real part represents the probability density, and the imaginary part represents the phase of the wave function.
The wave function and its conjugate are related by the Schrödinger equation, which describes the time evolution of a quantum system. The product of the wave function and its conjugate gives the probability density of a particle at a particular position in space. They are also used to calculate the expectation value of physical observables.