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quant-ph2018★ 3 cited
Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries
E. Shpagina, F. Uskov, N. Il'in +1
The stationary Schrödinger equation can be cast in the form , where is the system's Hamiltonian and is the system's density matrix. We explore the merits of this…
quant-ph2017★ 9 cited
Squaring parametrization of constrained and unconstrained sets of quantum states
N. Il'in, E. Shpagina, F. Uskov +1
A mixed quantum state is represented by a Hermitian positive semi-definite operator with unit trace. The positivity requirement is responsible for a highly nontrivial geometry…