Serampore College

A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptotic solution of the Schrodinger equation and an unknown function. Choosing the divergent exponential factor has an advantage. Because if the equation has to have a meaningful bound state solution, the other part of the product is compelled to converge faster than the diverging exponential, so that their product, which is the bound state solution, must converge at large distances. This requirement makes the other part an oscillatory function with (n+1) extrema when it has n nodes. Since its derivative vanishes at each of these extrema, its derivative necessarily possesses at least (n+1) nodes. Such a nodal structure is characteristic of the next higher bound state, motivating an investigation into whether the derivative of the remaining part is directly related to the wave function of the next higher energy eigen state. This investigation demonstrates that the wave functions of the harmonic oscillator can be generated by successively reconstructing the equations of the higher eigen states through repeated differentiation.

The rapid convergence of Artificial Intelligence (AI) and the Internet of Things (IoT) is reshaping the hospitality industry by enabling intelligent, automated, and hyper-personalized service ecosystems. This study examines how the integration of AI and IoT—referred to as AIoT—enhances smart service delivery and strengthens customer engagement within hotels and related hospitality environments. The research explores key AI and IoT applications such as smart guest rooms, predictive maintenance, automated check-in systems, and personalized service recommendations, highlighting their impact on operational efficiency and guest satisfaction. Findings indicate that AIoT-driven solutions not only streamline service processes but also create immersive, interactive experiences that increase convenience, engagement, and loyalty. Despite challenges related to security, cost, and technological integration, AIoT offers significant potential for transforming hospitality service models. The study concludes that embracing AI–IoT convergence is essential for hospitality organizations seeking competitive advantage in an increasingly digital and experience-driven marketplace.

Introduction: Manual weaving is one of the physiologically exhaustive occupations. Repetitive movements of upper and lower limbs, strenuous static postures of back muscles make it tougher for the weavers. Previous studies have successfully established the prevalence musculoskeletal disorders (MSDs) among the handloom weavers in neck, upper-lower back, wrist, and shoulders. But the biomechanics and the prevalence of MSDs at the working upper limb was less explored. Aim: This study aims to find out the prevalence of MSDs at the working upper limb and its biomechanical and kinematics propositions among the handloom weavers. Methodology: Thirty right-handed male handloom weavers were randomly selected from south Bengal. Modified Nordic Musculoskeletal Questionnaire (NMQ) and body discomfort chart (BDC) were used for the subjective assessment of the prevalence of MSDs. Videography was performed to analyze upper limb joint movements and angles using Kinovea software. Results and Discussions: Results obtained from NMQ and BDC have revealed the most affected body parts were both the shoulders, elbows, upper arms hands. Additionally, biomechanical analysis has revealed that speed, Horizontal and vertical velocity, angle and angular velocity of upper working limbs of manual weavers are deviating from the normal range. Lack of awareness, old and under maintained manual weaving machine and adoption of stressful postures for longer duration may cause MSDs in working upper limb of the handloom weavers. Conclusion: Awareness about the risk factors present in the working environment and low-cost ergonomic interventions can play an important role in minimizing occupational MSDs among weavers.

As the cornerstones of later Indian philosophical thinking, the Upanishads are collections of Indian philosophical writings written in late Vedic Sanskrit. In contrast to earlier writings of the Vedas that mostly concentrate on mantras (hymns), blessings, sacraments, sacrifices and rites, this section represents the most recent part of Hinduism's ancient texts. The fields of meditation, consciousness, philosophy, and ontological examinations are all explored in these complex Upanishads. As they explain a wide range of subjects like rituals, incarnations, and esoteric knowledge, they have a central place in the history of Indian faiths and culture. Significantly, the Upanishads depart from the older Vedic traditions' emphasis on rituals, opening the door for a variety of interpretations in later commentarial traditions. In order to comprehend human existence and personality development, the Taittiriya Upanishad describes the Pancha Kosha, or five sheaths of the self. By nurturing and understanding the idea of Koshas (sheath), individuals can accomplish a more holistic and balanced personality development, moving towards a state of self-realization and higher-level consciousness. This article focuses on the personality development of human in a very subtle way through the model of five sheaths as described in various Upanishads.