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Unusual quantum states: nonlocality, entropy, Maxwell's daemon, and fractals
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
This paper analyses the mathematical properties of some unusual quantum states that are constructed by inserting an impenetrable barrier into a chamber confining a single particle.
Shapes of Quantum States
Dorje C. Brody
The shape space of k labelled points on a plane can be identified with the space of pure quantum states of dimension k-2. Hence, the machinery of quantum mechanics can be applied t…
Must a Hamiltonian be Hermitian?
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space-time reflection…
Quantised Three-Pillar Problem
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
This paper examines the quantum mechanical system that arises when one quantises a classical mechanical configuration described by an underdetermined system of equations. Specifica…
Elementary Derivation for Passage Times
Dorje C. Brody
When a quantum system undergoes unitary evolution in accordance with a prescribed Hamiltonian, there is a class of states |psi> such that, after the passage of a certain time, |psi…