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OB1
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What is the precise definition of the bound state condition? Thanks in advance.
Disagree with you, though I'm not insisting. Consider a harmonic oscillator: all energies > 0, still bound states. Wave function should "decay" at infinity, but something must be said about when it decays: e.g. a moving Gaussian wave packet decays faster than an exponent, but does not correspond to a bound state.malawi_glenn said:E < 0 and that the wavefunction "decays" to 0 as r-> infty
The Bound State Condition refers to a quantum mechanical phenomenon in which two or more particles are bound together and have a finite amount of energy within a specific region of space. This condition is also known as the quantum confinement effect.
An example of the Bound State Condition is the formation of a hydrogen atom, where an electron is bound to a proton due to their opposite charges. The electron is confined to a specific energy level around the proton, resulting in a stable bound state.
The Bound State Condition and Free State Condition are two different quantum mechanical states. In the Bound State Condition, particles are confined and have a finite amount of energy, while in the Free State Condition, particles are not confined and can have any energy level.
The Bound State Condition has many implications in physics, including the stability of atoms and molecules, the behavior of particles in a potential well, and the formation of nuclear and atomic bonds. It also plays a crucial role in understanding the behavior of matter at the quantum level.
Yes, the Bound State Condition can be observed in everyday life. Some examples include the stability of atoms and molecules, which allows for the existence of matter as we know it, and the formation of chemical bonds, which are essential for various processes in our daily lives.