The Effective Potential in Quantum Mechanics

Feb, 1983
33 pages
Published in:
  • J.Math.Phys. 25 (1984) 541
Report number:
  • UF-TP-82-29

Citations per year

1984199220002008201601234
Abstract: (AIP)
General properties of the effective potential are discussed for quantum mechanical systems with a single degree of freedom. These properties are illustrated using specific one‐dimensional potential models. In particular, it is stressed that the ground state for a system can exist even when the effective potential decreases monotonically towards a unique finite minimum at infinite 〈x〉.
  • QUANTUM MECHANICS
  • APPROXIMATION: EFFECTIVE POTENTIAL
  • FIELD THEORY: VACUUM STATE
  • POTENTIAL: ASYMPTOTIC BEHAVIOR