SUSY approach to Pauli Hamiltonians with an axial symmetry
نویسندگان
چکیده
منابع مشابه
Dynamical Symmetry Approach to Periodic Hamiltonians
We show that dynamical symmetry methods can be applied to Hamiltonians with periodic potentials. We construct dynamical symmetry Hamiltonians for the Scarf potential and its extensions using representations of su(1, 1) and so(2, 2). Energy bands and gaps are readily understood in terms of representation theory. We compute the transfer matrices and dispersion relations for these systems, and fin...
متن کاملQuantum ergodicity for Pauli Hamiltonians with spin 1/2
Quantum ergodicity, which expresses the semiclassical convergence of almost all expectation values of observables in eigenstates of the quantum Hamiltonian to the corresponding classical microcanonical average, is proven for non-relativistic quantum particles with spin 1/2. It is shown that quantum ergodicity holds, if a suitable combination of the classical translational dynamics and the spin ...
متن کاملThermalization Time Bounds for Pauli Stabilizer Hamiltonians
We prove a general lower bound to the spectral gap of the Davies generator for Hamiltonians that can be written as the sum of commuting Pauli operators. These Hamiltonians, defined on the Hilbert space of N -qubits, serve as one of the most frequently considered candidates for a self-correcting quantum memory. A spectral gap bound on the Davies generator establishes an upper limit on the life t...
متن کاملTransverse Fierz - Pauli symmetry
We consider some flat space theories for spin 2 gravitons, with less invariance than full diffeomorphisms. For the massless case, classical stability and absence of ghosts require invariance under transverse diffeomorphisms (TDiff), hμν 7→ hμν + 2∂(νξμ), with ∂μξ μ = 0. Generic TDiff invariant theories contain a propagating scalar, which disappears if the symmetry is enhanced in one of two ways...
متن کاملMatrix Hamiltonians with an algebraic guarantee of unbroken PT −symmetry
Although the quantum bound-state energies may be generated by the so called PT −symmetric Hamiltonians H = PH†P 6 = H where P is, typically, parity, the spectrum only remains real and observable (i.e., in the language of physics, the PT −symmetry remains unbroken) inside a domain D of couplings. We show that the boundary ∂D (i.e., certain stability and observability horizon formed by the Kato’s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2006
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/22/013