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Dirac equation with complex potentials

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C.-L. Ho, P. Roy

Quantum Physics · Submitted 1 Jul 2014

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

The authors' main claim It is shown that the Dirac equation admits exact analytical solutions with real eigenvalues for certain complex potentials while for another class of potentials zero energy solutions can be obtained analytically.

how it is stated · asserted 1.00 read the record →

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arXiv ID1407.0161 (version 4)
Pith IDHJUJB4Q5, Pith's permanent record of this paper and its review
CitationC.-L. Ho, P. Roy. "Dirac equation with complex potentials." arXiv:1407.0161 (2014). https://pith.science/paper/HJUJB4Q5
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,967 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

We study $(2+1)$ dimensional Dirac equation with complex scalar and Lorentz scalar potentials. It is shown that the Dirac equation admits exact analytical solutions with real eigenvalues for certain complex potentials while for another class of potentials zero energy solutions can be obtained analytically. For the scalar potential cases, it has also been shown that the {\it effective} Schr\"odinger-like equations resulting from decoupling the spinor components can be interpreted as exactly solvable energy dependent Schr\"odinger equations.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study $(2+1)$ dimensional Dirac equation with complex scalar and Lorentz scalar potentials. contribution 0.95 0.80 0.05 asserted 0.82
s1 It is shown that the Dirac equation admits exact analytical solutions with real eigenvalues for certain complex potentials while for another class of potentials zero energy solutions can be obtained analytically. result 1.00 0.86 0.71 asserted 1.00
s2 For the scalar potential cases, it has also been shown that the {\it effective} Schr\"odinger-like equations resulting from decoupling the spinor components can be interpreted as exactly solvable energy dependent Schr\"odinger equations. interpretation 0.69 0.70 0.16 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v4
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

We study $(2+1)$ dimensional Dirac equation with complex scalar and Lorentz scalar potentials. It is shown that the Dirac equation admits exact analytical solutions with real eigenvalues for certain complex potentials while for another class of potentials zero energy solutions can be obtained analytically. For the scalar potential cases, it has also been shown that the {\it effective} Schr\"odinger-like equations resulting from decoupling the spinor components can be interpreted as exactly solvable energy dependent Schr\"odinger equations.

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