Particle in a Box with Generalized Uncertainty Principle

in ordinary quantum mechanics for the position uncertainty since minimum value can be tend to zero. Different theories of gravity, such as string theory, loop and black hole physics, confirm a minimal observable length. Kempf et al have formulated The length is fundamental measurement, although there no lower bound generalized principle (GUP) by modifying Heisenberg include an appearance mechanics. In this study, we found out influence GUP on particle its confinement 1D potential box calculated energy eigenvalues. modified Schrödinger equation factorized second order obtain eigenvalues handy way. obtained levels are from usual result with parameter dependency. modification spectrum due characterized presence has been also explored graphically.