Question

The energy of a particle in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls is proportional to (n= quantum number):"​

Answer 1

Answer

The wavelength of a particle in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls is proportional to (n = quantum number): n 1/n 1/n^2 Squareroot n n^2 An electron is in a one-dimensional well with finite potential energy barriers at the walls

Answer 2

Answer:

Concept :

Quantum numbers in quantum physics and chemistry explain the values of conserved quantities in a quantum system's dynamics. Quantum numbers are quantities that can be precisely known at the same time as the system's energy and are related to the eigenvalues of operators that commute with the Hamiltonian and their corresponding eigenspaces. A base state of a quantum system is fully described by the specification of all of its quantum numbers, which can theoretically be measured collectively.

Explanation:

• Consider a (non-relativistic) particle that is imprisoned in an L-length one-dimensional well.
• There is no potential energy inside the well, but there are "walls" of unlimited potential energy that keep the particle inside.
• E=, which is illogical because no particle can have limitless energy, or =0 are conceivable solutions.
• Picture a  particle that is imprisoned in an L-length one-dimensional well.
• The particle is contained within the well by "walls" of unlimited potential energy, which surround the well but do not exist inside it.
• Both E=, which is illogical because no particle can have infinite energy, and =0 are viable answers to this problem.
• The answer is $n^{2}$.

#SPJ2