P M Mathews
Articles written in Pramana – Journal of Physics
Volume 3 Issue 4 October 1974 pp 261-276 Nuclear And Particle Physics
Covariant fields: Poincaré group representations and metric structure in the space of quantum states
The representations of the Poincaré group realized over the space of covariant fields transforming according to any irreducible representation
Volume 4 Issue 2 February 1975 pp 53-54 Nuclear And Particle Physics
Residue-squaring iterative diagonalization method for perturbation problems
We present a new method for the evaluation of the change in eigenvalues due to a perturbation of strength λ. It is a fast converging iterative method which, at the
Volume 8 Issue 4 April 1977 pp 363-370 Quantum Mechanics
Residue-squaring diagonalisation method and the anharmonic oscillator
A recently-formulated residue-squaring method for perturbation problems is subjected to an exacting test in its application to the problem of diagonalising the Hamiltonian of the nonlinear oscillator with quartic anharmonicity. Unlike other methods, this new iterative diagonalisation method enables several eigenvalues to be calculated simultaneously with little more labour than for a single eigenvalue. Values obtained for the four lowest even-parity levels of the anharmonic oscillator from just two or three iterations are shown to agree well with earlier accurate calculations. An approximate analytical formula for the energy levels is also presented.
Volume 13 Issue 2 August 1979 pp 173-181 Nuclear And Particle Physics
M Seetharaman T R Govindarajan P M Mathews
We study the problem of a possible change in the number of constraints in linear relativistic wave equations (-
Volume 17 Issue 2 August 1981 pp 121-134 Quantum Mechanics
On the energy spectra of one-dimensional anharmonic oscillators
P M Mathews M Seetharaman Sekhar Raghavan V T A Bhargava
In this paper we present explicit and simple analytical formulae for the energy eigenvalues
Volume 32 Issue 2 February 1989 pp 99-105 Mathematical Physics
Determination of eigenvalues of real symmetric para-
V T A Bhargava P M Mathews M Seetharaman
A method is presented for an accurate numerical determination of eigenvalues of real symmetric para-
Volume 32 Issue 2 February 1989 pp 107-115 Quantum Mechanics
Anharmonic oscillators in higher dimension: Accurate energy eigenvalues and matrix elements
V T A Bhargava P M Mathews M Seetharaman
Energy eigenvalues and matrix elements of various anharmonic oscillators are determined to a high accuracy by applying a method for determining the eigenvalues and eigenvectors of real symmetric para-
Volume 32 Issue 6 June 1989 pp 845-845 Erratum
Anharmonic oscillators in higher dimension: Accurate energy eigenvalues and matrix elements
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