A class of solutions under GUP for a harmonic oscillator and a particle in a box

Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle

“…Therefore, energetic photons originating far away from a plate will contribute very little to the energy around the plate, Eqs. (9), (14) and (15).…”

“…Vice-versa, the commutator (5) implies the inequality (4) for any state. The GUP is widely studied in the context of quantum mechanics [15], quantum field theory [16], thermal effects in QFT [17,18], and for various deformations of the quantization rules [19].…”

“…(6) 2. Note that such an assumption is not fundamental for the validity of the result(15). See the discussion below for more details.…”

The deformation parameter of the generalized uncertainty principle

“…Vice-versa, the commutator (5) implies the inequality (4) for any state. The GUP is widely studied in the context of quantum mechanics [16], quantum field theory [17], thermal effects in QFT [18,19], and for various deformations of the quantization rules [20].…”