View the particle system in a one-dimensional box in the range - ≤ x ≤ of m-mass and q- charged particles. Without doing any calculations, state the function of this eigen wave system and its energy
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- You want to determine the possible energy observable values of a particle in a non- zero potential described by a wave function. Which of the following equations represents that process? ħ² 2m ·V² + V| y = 0 +17] 26 οψ ħ² [2²] =0 &= 04 2m – iħ√y = oy xy = 06Which two 2D Particle-in-a-Box wavefunctions are degenerate? (1) Lx = Ly and nx = ny (2) Lx = 2Ly and nx = ny (3) Lx = Ly and 2nx = ny (4) 2Lx = Ly and nx = 2ny (5) 2Lx = Ly and 2nx = nyFor a particle in a box, what would the probability distribution function Ic I2 look like if the particle behaved like a classical (Newtonian) particle? Do the actual probability distributions approach this classical form when n is very large? Explain.
- The wave function of a particle in a one-dimensional box of width L is u(x) = A sin (7x/L). If we know the particle must be somewhere in the box, what must be the value of A?A 4.90g Particle confined to a box of length L has a speed of 4.70mm/s a) lalhat is the classical Kinetic energy of Particle? the b) If the energy of the first excited State (n=2) is equal to the Kinetic energy found in part (a), what is the value Note: Answer must be in mi L? of c) Is the result found in part (b) realistic ? Explain.Please asap