6533b850fe1ef96bd12a8520
RESEARCH PRODUCT
Ultrarelativistic bound states in the shallow spherical well
Piotr GarbaczewskiMariusz ŻAbasubject
High Energy Physics - TheoryPhysicsQuantum PhysicsGeneral Physics and AstronomyFOS: Physical sciencesMathematical Physics (math-ph)Mathematics::Spectral TheoryMathematics - Spectral TheoryHigh Energy Physics - Theory (hep-th)Quantum mechanicsBound stateFOS: MathematicsQuantum Physics (quant-ph)Spectral Theory (math.SP)Mathematical Physicsdescription
We determine approximate eigenvalues and eigenfunctions shapes for bound states in the $3D$ shallow spherical ultrarelativistic well. Existence thresholds for the ground state and first excited states are identified, both in the purely radial and orbitally nontrivial cases. This contributes to an understanding of how energy may be stored or accumulated in the form of bound states of Schr\"odinger - type quantum systems that are devoid of any mass.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-11-06 |