English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Quantum confinement is studied by numerically solving time-dependentSchr\"odinger equation. An imaginary-time evolution technique is employed inconjunction with the minimization of an expectation value, to reach the globalminimum. Excited states are obtained by imposing the orthogonality constraintwith all lower states. Applications are made on three important model quantumsystems, namely, harmonic, repulsive and quartic oscillators; enclosed insidean impenetrable box. The resulting diffusion equation is solved usingfinite-difference method. Both symmetric and asymmetric confinement areconsidered for attractive potential; for others only symmetrical confinement.Accurate eigenvalue, eigenfunction and position expectation values areobtained, which show excellent agreement with existing literature results.Variation of energies with respect to box length is followed for small,intermediate and large sizes. In essence a simple accurate and reliable methodis proposed for confinement in quantum systems.

Quantum confinement in 1D systems through an imaginary-time evolution method