DOI: 10.1002/sapm196443115. On the Methods of One‐Dimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrodinger's Equation

On the Methods of One‐Dimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrodinger's Equation

10.1002/sapm196443115

Crossref journal-article

Wiley

Journal of Mathematics and Physics (311)

Bibliography

Hersch, J. (1964). On the Methods of OneâDimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrodingerâs Equation. Journal of Mathematics and Physics, 43(1â4), 15â26. Portico.

Authors 1

Joseph Hersch (first)

References 22 Referenced 10

10.1103/PhysRev.120.144
10.1103/PhysRev.124.483
{'issue': '5', 'key': 'e_1_2_1_4_1', 'first-page': '386', 'article-title': "Sull'equazione del moto vibratorio delle membrane elastiche.", 'volume': '16', 'author': 'Boggio T.', 'year': '1907', 'journal-title': 'Atti Accad. Lincei'} / Atti Accad. Lincei / Sull'equazione del moto vibratorio delle membrane elastiche. by Boggio T. (1907)
{'issue': '8', 'key': 'e_1_2_1_5_1', 'first-page': '411', 'article-title': 'Calcolo per difetto del più basso autovalore di un operatore ellittico del secondo ordine', 'volume': '30', 'author': 'Fichera G.', 'year': '1961', 'journal-title': 'Rend. Accad. Lincei'} / Rend. Accad. Lincei / Calcolo per difetto del più basso autovalore di un operatore ellittico del secondo ordine by Fichera G. (1961)
{'key': 'e_1_2_1_6_1', 'volume-title': '1. Teil: Elementare Quantenmechanik', 'author': 'Flügge S.', 'year': '1952'} / 1. Teil: Elementare Quantenmechanik by Flügge S. (1952)
{'key': 'e_1_2_1_7_1', 'volume-title': 'Variational methods for eigenvalue problems', 'author': 'Gould S. H.', 'year': '1957'} / Variational methods for eigenvalue problems by Gould S. H. (1957)
{'key': 'e_1_2_1_8_1', 'first-page': '2060', 'article-title': "Une interprétation du principe de Thomson et son analogue pour la fréquence fondamentale d'une membrane. Application.", 'volume': '248', 'author': 'Hersch J.', 'year': '1959', 'journal-title': 'C. R. Acad. Sci. Paris'} / C. R. Acad. Sci. Paris / Une interprétation du principe de Thomson et son analogue pour la fréquence fondamentale d'une membrane. Application. by Hersch J. (1959)
{'key': 'e_1_2_1_9_1', 'first-page': '1074', 'article-title': 'Un principe de maximum pour la fréquence fondamentale déune membrane.', 'volume': '249', 'author': 'Hersch J.', 'year': '1959', 'journal-title': 'C. R. Acad. Sci. Paris'} / C. R. Acad. Sci. Paris / Un principe de maximum pour la fréquence fondamentale déune membrane. by Hersch J. (1959)
{'issue': '2', 'key': 'e_1_2_1_10_1', 'first-page': '249', 'article-title': 'Sur quelques principes extrémaux de la Physique mathématique.', 'volume': '5', 'author': 'Hersch J.', 'year': '1959', 'journal-title': "L'Enseignement math."} / L'Enseignement math. / Sur quelques principes extrémaux de la Physique mathématique. by Hersch J. (1959)
10.1007/BF01604498
{'issue': '2', 'key': 'e_1_2_1_12_1', 'first-page': '152', 'article-title': 'Le principe de Thomson comme corollaire de celui de Dirichlet.', 'volume': '6', 'author': 'Hersch J.', 'year': '1960', 'journal-title': "L'Enseignement math."} / L'Enseignement math. / Le principe de Thomson comme corollaire de celui de Dirichlet. by Hersch J. (1960)
10.2140/pjm.1961.11.971
{'key': 'e_1_2_1_14_1', 'first-page': '1286', 'article-title': "Evaluation par défaut de toutes les fréquences propres d'une membrane à l'aide de “coupures chargees”.", 'volume': '255', 'author': 'Hersch J.', 'year': '1962', 'journal-title': 'C. R. Acad. Sci. Paris'} / C. R. Acad. Sci. Paris / Evaluation par défaut de toutes les fréquences propres d'une membrane à l'aide de “coupures chargees”. by Hersch J. (1962)
{'key': 'e_1_2_1_15_1', 'volume-title': 'Lower bounds for the first eigenvalue of elliptic equations of orders two and four Dissertation', 'author': 'Hooker W. W.', 'year': '1960'} / Lower bounds for the first eigenvalue of elliptic equations of orders two and four Dissertation by Hooker W. W. (1960)
10.1137/0105012
{'key': 'e_1_2_1_17_1', 'first-page': '25', 'volume-title': "Traité d'Analyse", 'author': 'Picard E.', 'year': '1893'} / Traité d'Analyse by Picard E. (1893)
{'key': 'e_1_2_1_18_1', 'first-page': '1', 'article-title': "Criteri sufficienti per il minimo assoluto di un integrale bidimensionale del second'ordine", 'volume': '95', 'author': 'Picone M.', 'year': '1961', 'journal-title': 'Atti Accad. Sci. Torino'} / Atti Accad. Sci. Torino / Criteri sufficienti per il minimo assoluto di un integrale bidimensionale del second'ordine by Picone M. (1961)
10.1515/9781400882663
{'key': 'e_1_2_1_20_1', 'volume-title': 'Lower bounds for the first eigenvalue of elliptic equations and related topics. Tech. Report No 8', 'author': 'Protter M. H.', 'year': '1958'} / Lower bounds for the first eigenvalue of elliptic equations and related topics. Tech. Report No 8 by Protter M. H. (1958)
10.2140/pjm.1959.9.1249
10.2307/1969937
{'key': 'e_1_2_1_23_1', 'volume-title': 'A theory of lower bounds for eigenvalues', 'author': 'Weinberger H. F.', 'year': '1959'} / A theory of lower bounds for eigenvalues by Weinberger H. F. (1959)

Dates

Type	When
Created	9 years, 11 months ago (Sept. 28, 2015, 2:29 p.m.)
Deposited	1 year, 9 months ago (Nov. 9, 2023, 2:53 a.m.)
Indexed	1 year, 6 months ago (Feb. 8, 2024, 9:02 p.m.)
Issued	61 years, 5 months ago (April 1, 1964)
Published	61 years, 5 months ago (April 1, 1964)
Published Online	9 years, 6 months ago (March 4, 2016)
Published Print	61 years, 5 months ago (April 1, 1964)

Funders 0

None

BibTeX

@article{Hersch_1964, title={On the Methods of One‐Dimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrodinger’s Equation}, volume={43}, ISSN={0097-1421}, url={http://dx.doi.org/10.1002/sapm196443115}, DOI={10.1002/sapm196443115}, number={1–4}, journal={Journal of Mathematics and Physics}, publisher={Wiley}, author={Hersch, Joseph}, year={1964}, month=apr, pages={15–26} }

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