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The ground state of a quantum/classical mechanical system is its lowest-energy state; the energy of the ground state is known as the zero-point energy of the system. When a quantum system has infinite possible ground states, it is gapless with massless modes; if a quantum system has finite ground states, it is known as gapped and potentially topologically ordered. The ground state of a quantum field theory is usually called the vacuum state or the vacuum.

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Energy of an electron in triangle potential

You can already get an idea of what the ground state wave function looks like. Because the potential energy function is an even function, the ground state will also be an even function. You know tha …
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