Quaternionic Klein–Gordon equation

). The presented solution is the simplest ever obtained for quaternionic quantum theories and the closest to the complex solution. The scattering of a quaternionic charged scalar particle from an electric field is also obtained. A remarkable feature of quaternionic scalar particles is the existence of massive light cone particles.

Note:

accept by The European Physical Journal Plus

quantum mechanics: quaternion
Klein-Gordon equation
scalar particle
Hilbert space
electric field
light cone
scattering

References(30)

Figures(0)

[1]

SL Adler: Quaternionic Quantum Mechanics and Quantum Fields, Oxford University Press, Oxford

[2]

Quaternion wave equations in curved space-time

J.D. Edmonds
(
- Stanford U., Phys. Dept.
)

- Int.J.Theor.Phys. 10 (1974) 115-122
•
DOI:
- 10.1007/BF01810397

[3]

The Quaternion scalar field

S. De Leo
(
- Salento U.
)
,
P. Rotelli
(
- Salento U. and
- INFN, Lecce
)

- Phys.Rev.D 45 (1992) 575-579
•
DOI:
- 10.1103/PhysRevD.45.575

[4]

Duffin-Kemmer-Petiau equation on the quaternion field

Stefano De Leo
(
- INFN, Lecce
)

- Prog.Theor.Phys. 94 (1995) 1109-1120
•
e-Print:
- hep-th/9509058
•
DOI:
- 10.1143/PTP.94.1109

[5]

A new development in quantum field equations of dyons

B.C. Chanyal
(
- Cochin U.
)

- Can.J.Phys. 96 (2018) 11, 1192-1200
•
e-Print:
- 1712.08512
•
DOI:
- 10.1139/cjp-2017-0996

[6]

Higher spin quaternion waves in the Klein-Gordon theory

S. Ulrych
(
- Zurich U.
)

- Int.J.Theor.Phys. 52 (2013) 279-292
•
e-Print:
- 1201.0337
•
DOI:
- 10.1007/s10773-012-1330-4

[7]

Generalized Klein–Gordon field equations with octonion space-time (OST) algebra

B.C. Chanyal

- Chin.J.Phys. 55 (2017) 432-443
•
DOI:
- 10.1016/j.cjph.2017.01.003

[8]

Sedeonic Field Equations for Dyons

- Adv.Appl.Clifford Algebras 28 (2018) 3, 64
•
DOI:
- 10.1007/s00006-018-0886-3

[9]

Sedeonic Equations in Field Theory

- Adv.Appl.Clifford Algebras 30 (2020) 3, 44
•
DOI:
- 10.1007/s00006-020-01069-5

[10]

Considerations on the hyperbolic complex Klein-Gordon equation

S. Ulrych
(
- Zurich U.
)

- J.Math.Phys. 51 (2010) 063510
•
e-Print:
- 1006.5182
•
DOI:
- 10.1063/1.3397456

[11]

Conformal Relativity with Hypercomplex Variables

S. Ulrych
(
- Zurich U.
)

- Proc.Roy.Soc.Lond.A 470 (2014) 20140027
•
e-Print:
- 1401.0658
•
DOI:
- 10.1098/rspa.2014.0027

[12]

Non-anti-hermitian Quaternionic Quantum Mechanics

Sergio Giardino

- Adv.Appl.Clifford Algebras 28 (2018) 1, 19
•
e-Print:
- 1609.00433
•
DOI:
- 10.1007/s00006-018-0819-1

[13]

Virial theorem and generalized momentum in quaternionic quantum mechanics

Sergio Giardino

- Eur.Phys.J.Plus 135 (2020) 1, 114
•
e-Print:
- 1911.06831
•
DOI:
- 10.1140/epjp/s13360-020-00201-5

[14]

Quaternionic quantum mechanics in real Hilbert space

Sergio Giardino

- J.Geom.Phys. 158 (2020) 103956
•
e-Print:
- 1803.11523
•
DOI:
- 10.1016/j.geomphys.2020.103956

[15]

Quaternionic Aharonov–Bohm Effect

Sergio Giardino
(
- Beira Interior U., Covilha
)

- Adv.Appl.Clifford Algebras 27 (2017) 3, 2445-2456
•
e-Print:
- 1606.08486
•
DOI:
- 10.1007/s00006-017-0766-2

[16]

Quaternionic quantum particles

Sergio Giardino

- Adv.Appl.Clifford Algebras 29 (2019) 4, 83
•
e-Print:
- 1704.06848
•
DOI:
- 10.1007/s00006-019-1001-0

[17]

Quaternionic quantum particles: new solutions

Sergio Giardino
(
- U. Sao Paulo, Sao Carlos, ICMC
)

- Can.J.Phys. 99 (2021) 4, 263-268,
- Can.J.Phys. 99 4
•
e-Print:
- 1706.08370
•
DOI:
- 10.1139/cjp-2020-0077

[21]

Quaternionic elastic scattering

Sergio Giardino

- EPL 132 (2020) 5, 50010
•
e-Print:
- 2011.05743
•
DOI:
- 10.1209/0295-5075/132/50010

[19]

Quaternionic electrodynamics

Sergio Giardino
(
- Rio Grande do Sul U.
)

- Mod.Phys.Lett.A 35 (2020) 39, 39
•
e-Print:
- 2010.07748
•
DOI:
- 10.1142/S0217732320503277

[20]

New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics

- J.Math.Phys. 61 (2020) 3, 032104
•
e-Print:
- 1901.02357
•
DOI:
- 10.1063/1.5117873

[21]

Quaternionic elastic scattering

Sergio Giardino

- EPL 132 (2020) 5, 50010
•
e-Print:
- 2011.05743
•
DOI:
- 10.1209/0295-5075/132/50010

[22]

Quaternionic quantum harmonic oscillator

Sergio Giardino
(
- Rio Grande do Sul U.
)

- Eur.Phys.J.Plus 136 (2021) 1, 120,
- The European Physical Journal Plus volume 136, 120 (2021)
•
e-Print:
- 2101.03379
•
DOI:
- 10.1140/epjp/s13360-021-01103-w

[23]

Sprössig: Real Quaternionic Calculus Handbook, Birkhäuser, Boston

JP Morais
,
W. S Georgiev

[24]

An Introduction to Clifford Algebras and Spinors

DOI:
- 10.1093/acprof:oso/9780198782926.001.0001

[25]

Clifford algebras: An introduction

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