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The wave function is one of the most important concepts in quantum mechanics, because every particle is represented by a wave function. A wave function in quantum mechanics is a description of the quantum state of a system. The energy of an individual photon depends only on the frequency of light, so is proportional to the number of photons. Wave Function must be Continuous. The powers or the exponent of wave function is one. (An odd function is also referred to as an anti-symmetric function.) Otherwise, the wave function will lose its characteristics and it will be no more as a wave function. By comparison, an odd function is generated by reflecting the function about the y-axis and then about the x-axis. This is one of the main properties of wave function. It can’t be quadratic or contains the higher exponents. The wave function is the solution to the Schrödinger equation, given your experimental situation. This function is produced by reflecting $$\psi (x)$$ for $$x > 0$$ about the vertical y-axis. Wave functions. https://www.khanacademy.org/.../atoms-and-electrons/v/quantum-wavefunction So, therefore it is continuous. Wave function must have linear mathematical representations. With a classical system and Newton's equation, you would obtain a trajectory, showing the path something would follow: the equations of motion. Figure $$\PageIndex{7}$$: Examples of even and odd wavefunctions. In one dimension, wave functions are often denoted by the symbol ψ(x,t). They are functions of the coordinate x and the time t. But ψ(x,t) is not a real, but a complex function, the Schroedinger equation does not have real, but complex solutions. Is there more than one? The wave function of a light wave is given by E(x,t), and its energy density is given by , where E is the electric field strength. What is a wave function? A)represented by (Ψ2) B)represented by E C)represented by Ψ D)represented by H E)a mathematical function that describes the wavelike nature of the electron F)a mathematical function that determines whether the electron will behave like a wave …