## SEARCH

#### Country

##### ( see all 10)

- India 92 (%)
- United States 9 (%)
- Japan 3 (%)
- Germany 2 (%)
- United Kingdom 2 (%)

#### Author

##### ( see all 142)

- Seetharaman, M 5 (%)
- Joseph, K Babu 4 (%)
- Srinivas, M D 4 (%)
- Chaudhuri, R N 3 (%)
- Datta, S N 3 (%)

## CURRENTLY DISPLAYING:

Most articles

Fewest articles

Showing 1 to 10 of 104 matching Articles
Results per page:

## A generalized Schrödinger formalism as a Hilbert space representation of a generalized Liouville equation

### Pramana (1997-07-01) 49: 17-31 , July 01, 1997

A generalized Schrödinger formalism has been presented which is obtained as a Hilbert space representation of a Liouville equation generalized to include the action as a dynamical variable, in addition to the positions and the momenta. This formalism applied to a classical mechanical system had been shown to yield a similar set of Schrödinger like equations for the classical dynamical system of charged particles in a magnetic field. The novel quantum-like predictions for this classical mechanical system have been experimentally demonstrated and the results are presented.

## q-Anharmonic oscillator with quartic interaction

### Pramana (1992-11-01) 39: 521-528 , November 01, 1992

The first order perturbative correction to the energy levels of a boson realization of a*q*-oscillator due to a quartic term in the potential energy is evaluated. We also discuss the statistical mechanics of*q*-anharmonic oscillators in the case where the parameter*q* deviates slightly from unity.

## Exact generator coordinate wave functions for some simple hamiltonians

### Pramana (1988-08-01) 31: 87-91 , August 01, 1988

A Gaussian form of the generator coordinate wave function is used to find the exact weight function for the ground state of H-atom using HWG integral equation. Exact pairs of GC wave functions and weight functions are then constructed for other simple Hamiltonians using a simple integral which converts an exponential into a Gaussian. A discussion as to how a GC wave function can be used as a trial variational wave function is also presented.

## Self-interacting one-dimensional oscillators

### Pramana (1996-03-01) 46: 203-211 , March 01, 1996

Energy eigenvalues and 〈*x*^{2}〉_{n} for the oscillators having potential energy*V*(*x*)=(*ω*^{2}*x*^{2}/2)+*λ*<*x*^{2r}>*x*^{2s} have been determined for various values of*λ, r, s* and*n* using renormalized hypervirial-Padé scheme. In general, the results show an improvement over the findings of earlier workers. Variation of the evaluated quantities and of the renormalization parameter with*λ, r, s* and*n* has been discussed. In addition, this potential has been employed as an illustrative example of the applicability of alternative formalism of perturbation theory developed by Kim and Sukhatme (*J. Phys.**A25* 647 (1992)).

## The Ithaca interpretation of quantum mechanics

### Pramana (1998-11-01) 51: 549-565 , November 01, 1998

I list several strong requirements for what I would consider a sensible interpretation of quantum mechanics and discuss two simple recent theorems which have important implications for such an interpretation. My talk will not clear everything up; indeed, you may conclude that it has not cleared anything up. But I hope it will provide a different perspective from which to view some old and vexing puzzles (or, if you believe nothing needs to be cleared up, some ancient verities.)

## Quantum motion over a finite one-dimensional domain: With and without dissipation

### Pramana (1996-11-01) 47: 371-377 , November 01, 1996

Quantum motion of a single particle over a finite one-dimensional spatial domain is considered for the generalized four parameter infinity of boundary conditions (GBC) of Carreau*et al* [1]. The boundary conditions permit complex eigenfunctions with nonzero current for discrete states. Explicit expressions are obtained for the eigenvalues and eigenfunctions. It is shown that these states go over to plane waves in the limit of the spatial domain becoming very large. Dissipation is introduced through Schrödinger-Langevin (SL) equation. The space and time parts of the SL equation are separated and the time part is solved exactly. The space part is converted to nonlinear ordinary differential equation. This is solved perturbatively consistent with the GBC. Various special cases are considered for illustrative purposes.

## Uniqueness of the solutions of multichannel scattering equation in three particle system

### Pramana (1993-12-01) 41: 483-491 , December 01, 1993

A new approach is made to investigate the old problem of non-uniqueness of the solution of Lippmann-Schwinger equation of three particle system and it is found that even the necessary condition for the existence of the problem is not satisfied.

## On the discontinuities in the energy spectrum of a model Hamiltonian

### Pramana (1990-07-01) 35: 1-9 , July 01, 1990

The occurrence of discontinuities in the energy spectrum of the*s*-wave Hamiltonian in three dimensions*H*(*μ, λ*) =*p*^{2}/2 − 1/*r* + 2*µr* + 2*λ*^{2}*r*^{2} has been reported by us. In this communication we develop a unified understanding, based principally on the topography of the energy surfaces, of the different discontinuities we reported earlier. These discontinuities do not in general occur wherever the corresponding classical system would display catastrophic behaviour.

## Geometric phase as a simple closed-form integral

### Pramana (1993-11-01) 41: L479-L481 , November 01, 1993

For a general evolution of a quantal system, the geometric phase measured with reference to a given initial state is derived as an integral of a function of the pure state density operator by invoking the Pancharatnam connection continuously.

## The Coulomb Green’s function revisited

### Pramana (1995-08-01) 45: 165-174 , August 01, 1995

It is demonstrated how the energy-dependent Green’s function for the Schrödinger-Coulomb problem can be deduced from a knowledge of the harmonic oscillator time-propagator. All the known results of the Coulomb system are shown to be elegantly derivable from such a connection.