Quantum variational calculus:
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Datensatz im Suchindex
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adam_text | QUANTUM VARIATIONAL CALCULUS
/ MALINOWSKA, AGNIESZKA B.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE CLASSICAL CALCULUS OF VARIATIONS
THE HAHN QUANTUM VARIATIONAL CALCULUS
THE POWER QUANTUM CALCULUS
CONCLUSION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
QUANTUM VARIATIONAL CALCULUS
/ MALINOWSKA, AGNIESZKA B.
: 2014
ABSTRACT / INHALTSTEXT
THIS BRIEF PUTS TOGETHER TWO SUBJECTS,QUANTUM AND VARIATIONAL CALCULI
BY CONSIDERING VARIATIONAL PROBLEMS INVOLVING HAHN QUANTUM OPERATORS.
THE MAIN ADVANTAGE OF ITS RESULTS IS THAT THEY ARE ABLE TO DEAL WITH
NONDIFFERENTIABLE (EVEN DISCONTINUOUS) FUNCTIONS, WHICH ARE IMPORTANT IN
APPLICATIONS. POSSIBLE APPLICATIONS IN ECONOMICS ARE DISCUSSED.
ECONOMISTS MODEL TIME AS CONTINUOUS OR DISCRETE. ALTHOUGH INDIVIDUAL
ECONOMIC DECISIONS ARE GENERALLY MADE AT DISCRETE TIME INTERVALS, THEY
MAY WELL BE LESS THAN PERFECTLY SYNCHRONIZED IN WAYS DISCRETE MODELS
POSTULATE. ON THE OTHER HAND, THE USUAL ASSUMPTION THAT ECONOMIC
ACTIVITY TAKES PLACE CONTINUOUSLY, IS NOTHING ELSE THAN A CONVENIENT
ABSTRACTION THAT IN MANY APPLICATIONS IS FAR FROM REALITY. THE HAHN
QUANTUM CALCULUS HELPS TO BRIDGE THE GAP BETWEEN THE TWO FAMILIES OF
MODELS: CONTINUOUS AND DISCRETE. QUANTUM VARIATIONAL CALCULUS IS
SELF-CONTAINED AND UNIFIED IN PRESENTATION. IT PROVIDES AN OPPORTUNITY
FOR AN INTRODUCTION TO THE QUANTUM CALCULUS OF VARIATIONS FOR
EXPERIENCED RESEARCHERS BUT MAY BE USED AS AN ADVANCED TEXTBOOK BY
GRADUATE STUDENTS AND EVEN AMBITIOUS UNDERGRADUATES AS WELL. THE
EXPLANATIONS IN THE BOOK ARE DETAILED TO CAPTURE THE INTEREST OF THE
CURIOUS READER, AND COMPLETE TO PROVIDE THE NECESSARY BACKGROUND
MATERIAL NEEDED TO GO FURTHER INTO THE SUBJECT AND EXPLORE THE RICH
RESEARCH LITERATURE, MOTIVATING FURTHER RESEARCH ACTIVITY IN THE AREA
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Malinowska, Agnieszka B. |
author_GND | (DE-588)1029177791 (DE-588)1029177880 |
author_facet | Malinowska, Agnieszka B. |
author_role | aut |
author_sort | Malinowska, Agnieszka B. |
author_variant | a b m ab abm |
building | Verbundindex |
bvnumber | BV043209145 |
collection | ZDB-2-ENG |
ctrlnum | (OCoLC)864745977 (DE-599)BVBBV043209145 |
dewey-full | 515.64 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.64 |
dewey-search | 515.64 |
dewey-sort | 3515.64 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-02747-0 |
format | Electronic eBook |
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id | DE-604.BV043209145 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:31:12Z |
institution | BVB |
isbn | 9783319027470 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632306 |
oclc_num | 864745977 |
open_access_boolean | |
owner | DE-Aug4 DE-898 DE-BY-UBR DE-861 DE-573 DE-859 DE-634 DE-92 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
owner_facet | DE-Aug4 DE-898 DE-BY-UBR DE-861 DE-573 DE-859 DE-634 DE-92 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
physical | 1 Online Ressource (xviii, 84 p. 3 illus) |
psigel | ZDB-2-ENG ZDB-2-ENG_2014 |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | Springer |
record_format | marc |
series2 | SpringerBriefs in electrical and computer engineering |
spellingShingle | Malinowska, Agnieszka B. Quantum variational calculus Mathematics Calculus of variations Quantum physics Control engineering Economic theory Calculus of Variations and Optimal Control; Optimization Control Economic Theory/Quantitative Economics/Mathematical Methods Quantum Physics Mathematik |
title | Quantum variational calculus |
title_auth | Quantum variational calculus |
title_exact_search | Quantum variational calculus |
title_full | Quantum variational calculus Agnieszka B. Malinowska, Delfim F.M. Torres |
title_fullStr | Quantum variational calculus Agnieszka B. Malinowska, Delfim F.M. Torres |
title_full_unstemmed | Quantum variational calculus Agnieszka B. Malinowska, Delfim F.M. Torres |
title_short | Quantum variational calculus |
title_sort | quantum variational calculus |
topic | Mathematics Calculus of variations Quantum physics Control engineering Economic theory Calculus of Variations and Optimal Control; Optimization Control Economic Theory/Quantitative Economics/Mathematical Methods Quantum Physics Mathematik |
topic_facet | Mathematics Calculus of variations Quantum physics Control engineering Economic theory Calculus of Variations and Optimal Control; Optimization Control Economic Theory/Quantitative Economics/Mathematical Methods Quantum Physics Mathematik |
url | https://doi.org/10.1007/978-3-319-02747-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632306&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632306&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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