Abstract
The confinement of classical and quantum test particles moving on a brane is studied by employing the notion of a returning force. It is shown that for classical test particles, the effects of extra dimensions are feeble whereas for quantum particles, these effects are pronounced. We also show that confinement causes the mass of a quantum particle to be quantized. Another consequence of the confinement is that it strongly restricts the choice of the bulk geometry even in the presence of the returning force.
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