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Quantum information entropies of the eigenstates and the coherent state of the P\"oschl-Teller potential

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Rajneesh Atre, Anil Kumar, C. Nagaraja Kumar, Prasanta K. Panigrahi

Quantum Physics · Submitted 10 Dec 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski.

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arXiv IDquant-ph/0312095 (version 1)
Pith ID4JLQ2JOH, Pith's permanent record of this paper and its review
CitationAnil Kumar, C. Nagaraja Kumar, Prasanta K. Panigrahi, Rajneesh Atre. "Quantum information entropies of the eigenstates and the coherent state of the P\"oschl-Teller potential." arXiv:quant-ph/0312095 (2003). https://pith.science/paper/4JLQ2JOH
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,286 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.54 · compares with prior results 0.62 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the P\"oschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski. result 0.91 0.92 0.33 asserted 1.00
s1 These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. contribution 0.54 0.94 0.05 asserted 1.00
s2 Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. result 0.68 0.91 0.07 asserted 1.00
s3 We then compute the position space entropies of the coherent state of the P\"oschl-Teller potential, which is known to show revival and fractional revival. contribution 0.98 0.90 0.09 asserted 1.00
s4 Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy. result 0.93 0.85 0.16 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.87 · evidence from simulation or computation 0.76.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The position and momentum space information entropies, of the ground state of the P\"oschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the P\"oschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.

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