Symbolic-Manipulation Constructions of Hilbert-Space Metrics in Quantum Mechanics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F11%3A00435946" target="_blank" >RIV/61389005:_____/11:00435946 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-23568-9_28" target="_blank" >http://dx.doi.org/10.1007/978-3-642-23568-9_28</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-23568-9_28" target="_blank" >10.1007/978-3-642-23568-9_28</a>

Result language
angličtina
Original language name
Symbolic-Manipulation Constructions of Hilbert-Space Metrics in Quantum Mechanics
Original language description
The recently formulated quantum-mechanics problem of the determination of the Hilbert-space metric Theta which renders a given Hamiltonian H self-adjoint is addressed. Via an exactly solvable example of the so called Gegenbauerian quantum-lattice oscillator it is demonstrated that the construction (basically, the solution of the so called Dieudonne's operator equation) and analysis of suitable Theta = Theta(H) (i.e., the determination of their domain's "exceptional-point" boundary) may enormously be facilitated via symbolic algebraic manipulations and via the MAPLE-supported numerics and graphics.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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