This is one of the main properties of wave function. This function is produced by reflecting \(\psi (x)\) for \(x > 0\) about the vertical y-axis. In one dimension, wave functions are often denoted by the symbol ψ(x,t). The wave function is the solution to the Schrödinger equation, given your experimental situation. 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 … Otherwise, the wave function will lose its characteristics and it will be no more as a wave function. The wave function is one of the most important concepts in quantum mechanics, because every particle is represented by a wave function. 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. A wave function in quantum mechanics is a description of the quantum state of a system. (An odd function is also referred to as an anti-symmetric function.) 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. Wave Function must be Continuous. 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. By comparison, an odd function is generated by reflecting the function about the y-axis and then about the x-axis. The powers or the exponent of wave function is one. The energy of an individual photon depends only on the frequency of light, so is proportional to the number of photons. So, therefore it is continuous. https://www.khanacademy.org/.../atoms-and-electrons/v/quantum-wavefunction What is a wave function? Wave functions. It can’t be quadratic or contains the higher exponents.