)sylar88 said:
tiny-tim said:hi sylar88!
try integrating by parts twice, then a bit of algebra
)tiny-tim said:yup … 0 to L (or x)
(what's n ?
tiny-tim said:
thank you for your interest and help. I will come for new questions )The normalization constant of a linear combination of two waves is a mathematical constant that is used to ensure that the combined wave has a total energy of 1. This constant is calculated by taking the square root of the sum of the squares of the coefficients of the two waves.
The normalization constant is important because it allows us to calculate the probability of finding the combined wave at a specific point in space. Without this constant, the probability of finding the combined wave would not be well-defined and could potentially have infinite values.
The normalization constant is directly affected by the coefficients of the two waves. The larger the coefficients, the smaller the normalization constant will be, and vice versa. This is because the normalization constant is inversely proportional to the total energy of the combined wave.
No, the normalization constant cannot be negative. This is because it represents the total energy of the combined wave, and energy cannot be negative. If the calculated normalization constant is negative, it is usually an indication of an error in the calculation.
The normalization constant is directly related to the wavefunction of a system. The wavefunction is the complex-valued function that describes the state of a quantum mechanical system. The normalization constant ensures that the wavefunction is properly normalized, meaning that the total probability of finding the system in any state is equal to 1.