An interesting result concerning the lower bound to the energy in the Heisenberg picture

Details An interesting result concerning the lower bound to the energy in the Heisenberg picture An interesting result concerning the lower bound to the energy in the Heisenberg picture

2008-08-20

arxiv.org/abs/0808.2786v1

Apeiron, Vol.16 no. 2, (April, 2009) 191-202.

Physics

Quantum Physics

9 pages

Scientific paper

In quantum theory it is generally assumed that there exists a special state called the vacuum state and that this state is a lower bound to the energy. However it has recently been demonstrated that this is not necessarily the case for some situations [5]. In order to clarify the situation we will consider a "very simple" field theory in the Heisenberg picture consisting of a quanitized fermion field with zero mass pariticles in 1-1D space-time interacting with a classical electrical potential. It will be shown that for this example there is no lower bound to the energy.

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