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- https://phys.libretexts.org/Courses/Muhlenberg_College/MC_%3A_Physics_213_-_Modern_Physics/05%3A_The_Schrodinger_Equation/5.02%3A_Solving_the_1D_Infinite_Square_WellImagine a (non-relativistic) particle trapped in a one-dimensional well of length L. Inside the well there is no potential energy, and the particle is trapped inside the well by “walls” of infinite p...Imagine a (non-relativistic) particle trapped in a one-dimensional well of length L. Inside the well there is no potential energy, and the particle is trapped inside the well by “walls” of infinite potential energy.
- https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Quantum_Mechanics_(Fowler)/05%3A_Interlude_-_The_Nature_of_Electrons/5.01%3A_Bosons_and_FermionsSo far, we have used Schrödinger’s equation to see how a single particle, usually an electron, behaves in a variety of potentials. If we are going to think about atoms other than hydrogen, it is neces...So far, we have used Schrödinger’s equation to see how a single particle, usually an electron, behaves in a variety of potentials. If we are going to think about atoms other than hydrogen, it is necessary to extend the Schrödinger equation so that it describes more than one particle. All elementary particles are either fermions, which have antisymmetric multiparticle wavefunctions, or bosons, which have symmetric wave functions. Electrons, protons and neutrons are fermions; photons are bosons.
- https://phys.libretexts.org/Bookshelves/Modern_Physics/Spiral_Modern_Physics_(D'Alessandris)/6%3A_The_Schrodinger_Equation/6.2%3A_Solving_the_1D_Infinite_Square_WellImagine a (non-relativistic) particle trapped in a one-dimensional well of length L. Inside the well there is no potential energy, and the particle is trapped inside the well by “walls” of infinite p...Imagine a (non-relativistic) particle trapped in a one-dimensional well of length L. Inside the well there is no potential energy, and the particle is trapped inside the well by “walls” of infinite potential energy.
- https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Introduction_to_Applied_Nuclear_Physics_(Cappellaro)/04%3A_Energy_Levels/4.01%3A_Bound_ProblemsAlthough the potential determined the space-dependent wavefunction, there was no limitation imposed on the possible wavenumbers and energies involved. An infinite number of continuous energies were po...Although the potential determined the space-dependent wavefunction, there was no limitation imposed on the possible wavenumbers and energies involved. An infinite number of continuous energies were possible solutions to the time-independent Schrödinger equation. In this chapter, we want instead to describe systems which are best described as particles confined inside a potential.
- https://phys.libretexts.org/Bookshelves/University_Physics/Radically_Modern_Introductory_Physics_Text_I_(Raymond)/09%3A_Symmetry_and_Bound_States/9.03%3A_Confined_Matter_WavesConfinement of a wave to a limited spatial region results in rather peculiar behavior — the wave can only fit comfortably into the confined region if the wave frequency, and hence the associated parti...Confinement of a wave to a limited spatial region results in rather peculiar behavior — the wave can only fit comfortably into the confined region if the wave frequency, and hence the associated particle energy, takes on a limited set of possible values. This is the origin of the famous quantization of energy, from which the “quantum” in quantum mechanics comes.
