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chemasdf
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Homework Statement
hi
Homework Equations
The Attempt at a Solution
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chemasdf said:The Attempt at a Solution
I have tried relating it to Energy in the equation E=(n^2*h^2)/(8mL^2). It is a 2D problem for particle in a box
A "Particle in a Box" is a simplified model used in quantum mechanics to understand the behavior of particles confined to a small space. The box represents the boundaries within which the particle can move, and the particle is assumed to have no potential energy outside of the box.
The homework statement for "Particle in a Box" typically involves calculating the energy levels and wave functions for a particle confined to a one-dimensional box of a given size. It may also involve solving for the probability of finding the particle at a specific location within the box.
The equations used for "Particle in a Box" include the Schrödinger equation, which describes the time evolution of the particle's wave function, and the boundary conditions that must be satisfied at the edges of the box. The energy levels can be found using the equation E = n²h²/8mL², where n is the quantum number, h is Planck's constant, m is the mass of the particle, and L is the length of the box.
The assumptions made for "Particle in a Box" include the particle being confined to a one-dimensional box with infinitely high potential walls, and the particle not interacting with any external forces. These assumptions allow for a simplified model that can be used to understand the behavior of particles in more complex systems.
The concept of "Particle in a Box" has applications in various fields, such as solid state physics, chemistry, and materials science. It can be used to understand the behavior of electrons in a crystal lattice, the properties of atoms and molecules in a confined space, and the behavior of particles in a potential well. It is also used in the development of quantum computing and nanotechnology.