Scalar and spinor particles with low binding energy in a strong stationary magnetic field in two and three dimensions
- Physics Department, Russian State Geological Prospecting University 118816, Moscow (Russian Federation)
We discuss the equations for the bound one-active electron states based on analytic solutions of the Schroedinger and Pauli equations for a uniform magnetic field and a single attractive {delta}(r) potential. It is very important that the electron ground states in a magnetic field differ essentially from the analogous state of spin-0 particles, whose binding energy was intensively studied more than forty years ago. We show that the binding-energy equations for spin-1/2 particles can be obtained without using the language of boundary conditions in the {delta}-potential model developed in the pioneering works. We use the obtained equations to calculate the energy level displacements analytically and to demonstrate nonlinear dependences on the field intensity. We show that the magnetic field indeed plays a stabilizing role in the considered systems in the case of weak intensity, but the opposite occurs in the case of strong intensity. These properties may be important for real quantum mechanical fermionic systems in two and three dimensions.
- OSTI ID:
- 20991075
- Journal Information:
- Physical Review. A, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevA.75.062111; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Meson-meson bound state in a 2+1 lattice QCD model with two flavors and strong coupling
Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids