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→Examples案例
For an equation describing a physical phenomenon, the superposition principle states that a combination of solutions to a linear equation is also a solution of it. When this is true the equation is said to obey the superposition principle. Thus, if [[quantum state|state vectors]] {{math|''f''<sub>1</sub>}}, {{math|''f''<sub>2</sub>}} and {{math|''f''<sub>3</sub>}} each solve the [[linear equation]] on ψ, then {{math|1= ψ = ''c''<sub>1</sub> ''f''<sub>1</sub> + ''c''<sub>2</sub> ''f''<sub>2</sub> + ''c''<sub>3</sub> ''f''<sub>3</sub>}} would also be a solution, in which each {{mvar|c}} is a coefficient. The [[Schrödinger equation]] is linear, so quantum mechanics follows this.
For an equation describing a physical phenomenon, the superposition principle states that a combination of solutions to a linear equation is also a solution of it. When this is true the equation is said to obey the superposition principle. Thus, if [[quantum state|state vectors]] {{math|''f''<sub>1</sub>}}, {{math|''f''<sub>2</sub>}} and {{math|''f''<sub>3</sub>}} each solve the [[linear equation]] on ψ, then {{math|1= ψ = ''c''<sub>1</sub> ''f''<sub>1</sub> + ''c''<sub>2</sub> ''f''<sub>2</sub> + ''c''<sub>3</sub> ''f''<sub>3</sub>}} would also be a solution, in which each {{mvar|c}} is a coefficient. The [[Schrödinger equation]] is linear, so quantum mechanics follows this.
对于描述物理现象的方程，叠加原理认为线性方程的解的组合也是它的解。当这点为真时，方程被认为服从叠加原理。因此，如果[[量子态|状态向量]] {{math|''f''<sub>1</sub>}}, {{math|''f''<sub>2</sub>}} 和 {{math|''f''<sub>3</sub>}} 每个都是[[线性方程]] 在 ψ的解，则 {{math|1= ψ = ''c''<sub>1</sub> ''f''<sub>1</sub> + ''c''<sub>2</sub> ''f''<sub>2</sub> + ''c''<sub>3</sub> ''f''<sub>3</sub>}} 也是一个解，其中每个 {{mvar|c}}是一个系数。[[薛定谔方程]]是线性的，所以量子力学服从这一点。
对于描述物理现象的方程，叠加原理认为线性方程的解的组合也是它的解。当这点为真时，方程被认为服从叠加原理。因此，如果[[量子态|状态向量]] {{math|''f''<sub>1</sub>}}, {{math|''f''<sub>2</sub>}} 和 {{math|''f''<sub>3</sub>}} 每个都是[[线性方程]] 在 ψ的解，则 {{math|1= ψ = ''c''<sub>1</sub> ''f''<sub>1</sub> + ''c''<sub>2</sub> ''f''<sub>2</sub> + ''c''<sub>3</sub> ''f''<sub>3</sub>}} 也是一个解，其中每个 {{mvar|c}}是一个系数。[[薛定谔方程]]是线性的，所以量子力学服从这一原理。
For an equation describing a physical phenomenon, the superposition principle states that a combination of solutions to a linear equation is also a solution of it. When this is true the equation is said to obey the superposition principle. Thus, if state vectors , and each solve the linear equation on ψ, then would also be a solution, in which each is a coefficient. The Schrödinger equation is linear, so quantum mechanics follows this.
For an equation describing a physical phenomenon, the superposition principle states that a combination of solutions to a linear equation is also a solution of it. When this is true the equation is said to obey the superposition principle. Thus, if state vectors , and each solve the linear equation on ψ, then would also be a solution, in which each is a coefficient. The Schrödinger equation is linear, so quantum mechanics follows this.
对于一个描述物理现象的方程，叠加原理指出，一个线性方程的解的组合也是它的解。如果这是正确的，那么这个方程就是服从叠加原理的。因此，如果状态向量，每个解线性方程 ψ，那么也是一个解，其中每个都是一个系数。薛定谔方程是线性的，所以量子力学是这样的。
对于一个描述物理现象的方程，叠加原理指出，一个线性方程的解的组合也是它的解。如果这是正确的，那么这个方程就是服从叠加原理的。因此，如果状态向量，每个解线性方程 ψ，那么也是一个解，其中每个都是一个系数。薛定谔方程是线性的，所以量子力学服从这一原理。
For example, consider an [[electron]] with two possible configurations, up and down. This describes the physical system of a [[qubit]].
For example, consider an [[electron]] with two possible configurations, up and down. This describes the physical system of a [[qubit]].
例如，考虑一个[[电子]]有两种可能的配置，上下。这描述了[[量子位]]的物理系统。
例如，考虑一个[[电子]]有两种可能的配置，上下。这描述了[[量子比特]]的物理系统。
For example, consider an electron with two possible configurations, up and down. This describes the physical system of a qubit.
For example, consider an electron with two possible configurations, up and down. This describes the physical system of a qubit.