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Papers by Jagannathan Ramaswamy
Quantum Mechanics of Charged Particle Beam Optics, 2019
Quantum Mechanics of Charged Particle Beam Optics, 2019
ADVANCES I IMAGING AND ELECTRON PHYSICS. VOL. 97 N Quantum Theory of the Optics of Charged Partic... more ADVANCES I IMAGING AND ELECTRON PHYSICS. VOL. 97 N Quantum Theory of the Optics of Charged Particles R. JAGANNATHAN AND SA KHAN The Institute of Mathematical Sciences, CIT Campus, Tharamani, Madras 600113, India......................................... 257..................... 259 A. General Formalism: Systems with Straight Optic Axis,............... 259 B. Applications....................................... 279 111. Spinor Theory of Charged-Particle Wave Optics..................... 322 A. General Formalism: Systems with Straight Optic Axis................ ...
arXiv (Cornell University), May 19, 2022
An eight dimensional matrix representation of the Maxwell equations for a linear inhomogeneous me... more An eight dimensional matrix representation of the Maxwell equations for a linear inhomogeneous medium has been derived earlier based on the Riemann-Silberstein-Weber vector starting from the equations satisfied by it. A new eight dimensional matrix representation, related to the earlier one by a similarity transformation, is deduced starting ab initio from the Maxwell equations. In this process the Riemann-Silberstein-Weber vector is obtained as natural basis for the matrix representation of the Maxwell equations. The new representation has a more advantageous structure compared to the earlier one from the point of view of applications. In the case of a homogeneous medium it reduces to a block diagonal form with four two dimensional Pauli matrix blocks along the diagonal and in the case of a linear inhomogeneous medium it should be suitable for studying the propagation of electromagnetic waves adopting the techniques of quantum mechanics.
Number Theory, 1982
ABSTRACT
Quantum Mechanics of Charged Particle Beam Optics, 2019
Skip to main content. Help us improve the CERN Document Server for you: take part! CERN Logo CERN... more Skip to main content. Help us improve the CERN Document Server for you: take part! CERN Logo CERN Document Server. Related links. CDS; Indico; Library; Bulletin; EDMS. Main navigation links: Search; Submit; Help; Your CDS: Your alerts; Your baskets; Your searches. login. Home > Articles & Preprints > Preprints > Quantum mechanics of charged particle beam optics. Information; Discussion; Files. Preprint. Report number, IMSC-94-11. Title, Quantum mechanics of charged particle beam optics : an operator approach. Author(s), Khan, SA ; Jagannathan ...
Reports on Mathematical Physics, 1974
It is shown that using the basis elements of the generalized Chfford algebra C." we can construct... more It is shown that using the basis elements of the generalized Chfford algebra C." we can construct a group 57 called the generalized Clifford group (G.C.G.) which is a generalization of the Dirac group of the 16 Dirac matrices and their negative counterparts. We have studied the irreducible representations of G.C.G. and we have found the connection with the group of linear transformations leaving invariant the expression 1 (x')" for m22. InI
Journal of Physics A: Mathematical and General, 1992
... a transformation for a terminating 3F2( 1) series, used by Weber and Erdelyi (1952), Rajeswar... more ... a transformation for a terminating 3F2( 1) series, used by Weber and Erdelyi (1952), Rajeswari and Srinivasa Rao (1989) derived ... This 72-element finite group of transformations has nine conjugacy classes and correspondingly nine irreducible representations (irreps) four of ...
Journal of Physics A: Mathematical and General, 1994
... A: Math. Gen. 24 1379 [33] Jurco B 1991 LEX Moth. Phys, 21 51 [34] Quesne C 1991 Phys Len. 15... more ... A: Math. Gen. 24 1379 [33] Jurco B 1991 LEX Moth. Phys, 21 51 [34] Quesne C 1991 Phys Len. 153A 303 [XI Shanta P. Chaunedi S. Srinivasan V, Aganval G S and Mehta C L 1994 Phys. Rev. Lea 72 1447 [36] Bxut A 0 and Gimdello L 1971 Cammun. Math. Phys. ...
Journal of Mathematical Physics, 1979
ABSTRACT
![Research paper thumbnail of Erratum: Representations of a para‐Bose algebra using only a single Bose field [J. Math. Phys. 20, 390(1979)]](https://attachments.academia-assets.com/100876725/thumbnails/1.jpg)
](Journal of Mathematical Physics, 1979
International Journal of Theoretical Physics, 1983
... Now the interesting situation arises when a particle belongs to low values of both J and e. S... more ... Now the interesting situation arises when a particle belongs to low values of both J and e. Such a "quark" will have a finite permanent characteristic confining radius, namely, (2J + 1)e, the maximum eigenvalue of its radial coordinate, and it can ... Weylian Quantum Mechanics ...
Quantum Mechanics of Charged Particle Beam Optics, 2019
Quantum Mechanics of Charged Particle Beam Optics, 2019
ADVANCES I IMAGING AND ELECTRON PHYSICS. VOL. 97 N Quantum Theory of the Optics of Charged Partic... more ADVANCES I IMAGING AND ELECTRON PHYSICS. VOL. 97 N Quantum Theory of the Optics of Charged Particles R. JAGANNATHAN AND SA KHAN The Institute of Mathematical Sciences, CIT Campus, Tharamani, Madras 600113, India......................................... 257..................... 259 A. General Formalism: Systems with Straight Optic Axis,............... 259 B. Applications....................................... 279 111. Spinor Theory of Charged-Particle Wave Optics..................... 322 A. General Formalism: Systems with Straight Optic Axis................ ...
arXiv (Cornell University), May 19, 2022
An eight dimensional matrix representation of the Maxwell equations for a linear inhomogeneous me... more An eight dimensional matrix representation of the Maxwell equations for a linear inhomogeneous medium has been derived earlier based on the Riemann-Silberstein-Weber vector starting from the equations satisfied by it. A new eight dimensional matrix representation, related to the earlier one by a similarity transformation, is deduced starting ab initio from the Maxwell equations. In this process the Riemann-Silberstein-Weber vector is obtained as natural basis for the matrix representation of the Maxwell equations. The new representation has a more advantageous structure compared to the earlier one from the point of view of applications. In the case of a homogeneous medium it reduces to a block diagonal form with four two dimensional Pauli matrix blocks along the diagonal and in the case of a linear inhomogeneous medium it should be suitable for studying the propagation of electromagnetic waves adopting the techniques of quantum mechanics.
Number Theory, 1982
ABSTRACT
Quantum Mechanics of Charged Particle Beam Optics, 2019
Skip to main content. Help us improve the CERN Document Server for you: take part! CERN Logo CERN... more Skip to main content. Help us improve the CERN Document Server for you: take part! CERN Logo CERN Document Server. Related links. CDS; Indico; Library; Bulletin; EDMS. Main navigation links: Search; Submit; Help; Your CDS: Your alerts; Your baskets; Your searches. login. Home > Articles & Preprints > Preprints > Quantum mechanics of charged particle beam optics. Information; Discussion; Files. Preprint. Report number, IMSC-94-11. Title, Quantum mechanics of charged particle beam optics : an operator approach. Author(s), Khan, SA ; Jagannathan ...
Reports on Mathematical Physics, 1974
It is shown that using the basis elements of the generalized Chfford algebra C." we can construct... more It is shown that using the basis elements of the generalized Chfford algebra C." we can construct a group 57 called the generalized Clifford group (G.C.G.) which is a generalization of the Dirac group of the 16 Dirac matrices and their negative counterparts. We have studied the irreducible representations of G.C.G. and we have found the connection with the group of linear transformations leaving invariant the expression 1 (x')" for m22. InI
Journal of Physics A: Mathematical and General, 1992
... a transformation for a terminating 3F2( 1) series, used by Weber and Erdelyi (1952), Rajeswar... more ... a transformation for a terminating 3F2( 1) series, used by Weber and Erdelyi (1952), Rajeswari and Srinivasa Rao (1989) derived ... This 72-element finite group of transformations has nine conjugacy classes and correspondingly nine irreducible representations (irreps) four of ...
Journal of Physics A: Mathematical and General, 1994
... A: Math. Gen. 24 1379 [33] Jurco B 1991 LEX Moth. Phys, 21 51 [34] Quesne C 1991 Phys Len. 15... more ... A: Math. Gen. 24 1379 [33] Jurco B 1991 LEX Moth. Phys, 21 51 [34] Quesne C 1991 Phys Len. 153A 303 [XI Shanta P. Chaunedi S. Srinivasan V, Aganval G S and Mehta C L 1994 Phys. Rev. Lea 72 1447 [36] Bxut A 0 and Gimdello L 1971 Cammun. Math. Phys. ...
Journal of Mathematical Physics, 1979
ABSTRACT
Journal of Mathematical Physics, 1979
International Journal of Theoretical Physics, 1983
... Now the interesting situation arises when a particle belongs to low values of both J and e. S... more ... Now the interesting situation arises when a particle belongs to low values of both J and e. Such a "quark" will have a finite permanent characteristic confining radius, namely, (2J + 1)e, the maximum eigenvalue of its radial coordinate, and it can ... Weylian Quantum Mechanics ...