quantum wavefunctions describe the probability distribution of particles in different states.
量子波函數描述了粒子在不同狀態下的概率分佈。
the wavefunction collapses when a measurement is made on the quantum system.
當對量子系統進行測量時，波函數會坍縮。
scientists calculate wavefunctions using the schrödinger equation for complex atomic systems.
科學家使用薛定谔方程來計算複雜原子系統的波函數。
the superposition principle allows multiple wavefunctions to exist simultaneously in a quantum state.
疊加原理允許在一個量子態中同時存在多個波函數。
wavefunctions evolve deterministically according to the time-dependent schrödinger equation.
波函數根據時間依賴的薛定谔方程確定性地演化。
normalizing wavefunctions ensures that the total probability of finding a particle equals one.
對波函數進行歸一化處理，可確保找到粒子的總概率等於一。
the wavefunctions of electrons in atoms form discrete energy levels and orbital shapes.
原子中電子的波函數形成離散的能級和軌道形狀。
when wavefunctions overlap significantly, chemical bonds form between atoms.
當波函數顯著重疊時，原子之間會形成化學鍵。
interference patterns emerge when wavefunctions from different paths interact with each other.
當來自不同路徑的波函數相互作用時，會產生干涉圖樣。
wavefunctions provide a complete mathematical description of quantum states in physics.
波函數提供了物理學中量子態的完整數學描述。
the decay of radioactive wavefunctions follows an exponential probability distribution over time.
放射性波函數的衰變隨時間呈指數概率分佈。
in quantum computing, wavefunctions encode information through superposition and entanglement.
在量子計算中，波函數通過疊加和糾纏來編碼資訊。
quantum wavefunctions describe the probability distribution of particles in different states.
量子波函數描述了粒子在不同狀態下的概率分佈。
the wavefunction collapses when a measurement is made on the quantum system.
當對量子系統進行測量時，波函數會坍縮。
scientists calculate wavefunctions using the schrödinger equation for complex atomic systems.
科學家使用薛定谔方程來計算複雜原子系統的波函數。
the superposition principle allows multiple wavefunctions to exist simultaneously in a quantum state.
疊加原理允許在一個量子態中同時存在多個波函數。
wavefunctions evolve deterministically according to the time-dependent schrödinger equation.
波函數根據時間依賴的薛定谔方程確定性地演化。
normalizing wavefunctions ensures that the total probability of finding a particle equals one.
對波函數進行歸一化處理，可確保找到粒子的總概率等於一。
the wavefunctions of electrons in atoms form discrete energy levels and orbital shapes.
原子中電子的波函數形成離散的能級和軌道形狀。
when wavefunctions overlap significantly, chemical bonds form between atoms.
當波函數顯著重疊時，原子之間會形成化學鍵。
interference patterns emerge when wavefunctions from different paths interact with each other.
當來自不同路徑的波函數相互作用時，會產生干涉圖樣。
wavefunctions provide a complete mathematical description of quantum states in physics.
波函數提供了物理學中量子態的完整數學描述。
the decay of radioactive wavefunctions follows an exponential probability distribution over time.
放射性波函數的衰變隨時間呈指數概率分佈。
in quantum computing, wavefunctions encode information through superposition and entanglement.
在量子計算中，波函數通過疊加和糾纏來編碼資訊。
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