Four-dimensional reflection groups and electrostatics
We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Olshanii, Maxim [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study - D'Acunzo, Francesca ELSEVIER, 2013transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:421 ; year:2020 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.aop.2020.168291 |
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| 520 | |a We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. | ||
| 520 | |a We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. | ||
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| 700 | 1 | |a Jackson, Steven G. |4 oth | |
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10.1016/j.aop.2020.168291 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001201.pica (DE-627)ELV05200211X (ELSEVIER)S0003-4916(20)30225-6 DE-627 ger DE-627 rakwb eng 540 VZ 610 VZ 44.63 bkl 44.69 bkl Olshanii, Maxim verfasserin aut Four-dimensional reflection groups and electrostatics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. Reflection group Elsevier Conducting cavity Elsevier Method of images Elsevier Exactly solvable problem Elsevier Styrkas, Yuri oth Yampolsky, Dmitry oth Dunjko, Vanja oth Jackson, Steven G. oth Enthalten in Elsevier D'Acunzo, Francesca ELSEVIER Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study 2013transfer abstract Amsterdam [u.a.] (DE-627)ELV017163676 volume:421 year:2020 pages:0 https://doi.org/10.1016/j.aop.2020.168291 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 44.63 Krankenpflege VZ 44.69 Intensivmedizin VZ AR 421 2020 0 |
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10.1016/j.aop.2020.168291 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001201.pica (DE-627)ELV05200211X (ELSEVIER)S0003-4916(20)30225-6 DE-627 ger DE-627 rakwb eng 540 VZ 610 VZ 44.63 bkl 44.69 bkl Olshanii, Maxim verfasserin aut Four-dimensional reflection groups and electrostatics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. Reflection group Elsevier Conducting cavity Elsevier Method of images Elsevier Exactly solvable problem Elsevier Styrkas, Yuri oth Yampolsky, Dmitry oth Dunjko, Vanja oth Jackson, Steven G. oth Enthalten in Elsevier D'Acunzo, Francesca ELSEVIER Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study 2013transfer abstract Amsterdam [u.a.] (DE-627)ELV017163676 volume:421 year:2020 pages:0 https://doi.org/10.1016/j.aop.2020.168291 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 44.63 Krankenpflege VZ 44.69 Intensivmedizin VZ AR 421 2020 0 |
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10.1016/j.aop.2020.168291 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001201.pica (DE-627)ELV05200211X (ELSEVIER)S0003-4916(20)30225-6 DE-627 ger DE-627 rakwb eng 540 VZ 610 VZ 44.63 bkl 44.69 bkl Olshanii, Maxim verfasserin aut Four-dimensional reflection groups and electrostatics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. Reflection group Elsevier Conducting cavity Elsevier Method of images Elsevier Exactly solvable problem Elsevier Styrkas, Yuri oth Yampolsky, Dmitry oth Dunjko, Vanja oth Jackson, Steven G. oth Enthalten in Elsevier D'Acunzo, Francesca ELSEVIER Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study 2013transfer abstract Amsterdam [u.a.] (DE-627)ELV017163676 volume:421 year:2020 pages:0 https://doi.org/10.1016/j.aop.2020.168291 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 44.63 Krankenpflege VZ 44.69 Intensivmedizin VZ AR 421 2020 0 |
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10.1016/j.aop.2020.168291 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001201.pica (DE-627)ELV05200211X (ELSEVIER)S0003-4916(20)30225-6 DE-627 ger DE-627 rakwb eng 540 VZ 610 VZ 44.63 bkl 44.69 bkl Olshanii, Maxim verfasserin aut Four-dimensional reflection groups and electrostatics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. Reflection group Elsevier Conducting cavity Elsevier Method of images Elsevier Exactly solvable problem Elsevier Styrkas, Yuri oth Yampolsky, Dmitry oth Dunjko, Vanja oth Jackson, Steven G. oth Enthalten in Elsevier D'Acunzo, Francesca ELSEVIER Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study 2013transfer abstract Amsterdam [u.a.] (DE-627)ELV017163676 volume:421 year:2020 pages:0 https://doi.org/10.1016/j.aop.2020.168291 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 44.63 Krankenpflege VZ 44.69 Intensivmedizin VZ AR 421 2020 0 |
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10.1016/j.aop.2020.168291 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001201.pica (DE-627)ELV05200211X (ELSEVIER)S0003-4916(20)30225-6 DE-627 ger DE-627 rakwb eng 540 VZ 610 VZ 44.63 bkl 44.69 bkl Olshanii, Maxim verfasserin aut Four-dimensional reflection groups and electrostatics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. Reflection group Elsevier Conducting cavity Elsevier Method of images Elsevier Exactly solvable problem Elsevier Styrkas, Yuri oth Yampolsky, Dmitry oth Dunjko, Vanja oth Jackson, Steven G. oth Enthalten in Elsevier D'Acunzo, Francesca ELSEVIER Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study 2013transfer abstract Amsterdam [u.a.] (DE-627)ELV017163676 volume:421 year:2020 pages:0 https://doi.org/10.1016/j.aop.2020.168291 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_70 44.63 Krankenpflege VZ 44.69 Intensivmedizin VZ AR 421 2020 0 |
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Enthalten in Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study Amsterdam [u.a.] volume:421 year:2020 pages:0 |
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Enthalten in Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study Amsterdam [u.a.] volume:421 year:2020 pages:0 |
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540 - Chemistry 610 - Medicine & health |
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Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study |
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Four-dimensional reflection groups and electrostatics |
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(DE-627)ELV05200211X (ELSEVIER)S0003-4916(20)30225-6 |
| title_full |
Four-dimensional reflection groups and electrostatics |
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Olshanii, Maxim |
| journal |
Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study |
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Polymerization, grafting and adsorption in the presence of inorganic substrates: Thermal polymerization of styrene with untreated and γ-irradiated silica gel as a case study |
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eng |
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500 - Science 600 - Technology |
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2020 |
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Olshanii, Maxim |
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421 |
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540 VZ 610 VZ 44.63 bkl 44.69 bkl |
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Elektronische Aufsätze |
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Olshanii, Maxim |
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10.1016/j.aop.2020.168291 |
| dewey-full |
540 610 |
| title_sort |
four-dimensional reflection groups and electrostatics |
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Four-dimensional reflection groups and electrostatics |
| abstract |
We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. |
| abstractGer |
We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. |
| abstract_unstemmed |
We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to four conducting grounded segments of spheres: if the spheres have a symmetry derived via a stereographic projection from a 4D finite reflection group, then this is a solvable generalization of the familiar problem of a charge inside a spherical cavity. There are 19 three-parametric families of finite groups formed by inversions relative to at most four spheres, each member of each family giving a solvable problem. We solve a sample problem that derives from the reflection group D 4 and requires 191 image charges. |
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Four-dimensional reflection groups and electrostatics |
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https://doi.org/10.1016/j.aop.2020.168291 |
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| author2 |
Styrkas, Yuri Yampolsky, Dmitry Dunjko, Vanja Jackson, Steven G. |
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Styrkas, Yuri Yampolsky, Dmitry Dunjko, Vanja Jackson, Steven G. |
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10.1016/j.aop.2020.168291 |
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2024-07-06T21:49:52.243Z |
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